757 has 2 divisors, whose sum is σ = 758. Its totient is φ = 756.

The previous prime is 751. The next prime is 761.

757 is nontrivially palindromic in base 3 and base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 676 + 81 = 26^2 + 9^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^{k}-757 is a prime.

It is the 28-th Hogben number.

757 is an undulating number in base 10.

It is a plaindrome in base 15.

It is a nialpdrome in base 12.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (751) by changing a digit.

It is a nontrivial repunit in base 27.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 378 + 379.

It is an arithmetic number, because the mean of its divisors is an integer number (379).

It is an amenable number.

757 is a deficient number, since it is larger than the sum of its proper divisors (1).

757 is an equidigital number, since it uses as much as digits as its factorization.

757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 245, while the sum is 19.

The square root of 757 is about 27.5136329844. The cubic root of 757 is about 9.1137817980.

Subtracting from 757 its product of digits (245), we obtain a 9-th power (512 = 2^{9}).

It can be divided in two parts, 75 and 7, that multiplied together give a palindrome (525).

The spelling of 757 in words is "seven hundred fifty-seven", and thus it is an aban number and an oban number.

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