763957 has 2 divisors, whose sum is σ = 763958. Its totient is φ = 763956.

The previous prime is 763943. The next prime is 763967. The reversal of 763957 is 759367.

763957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 763876 + 81 = 874^2 + 9^2 .

It is a cyclic number.

It is not a de Polignac number, because 763957 - 2¹⁵ = 731189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (763907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 381978 + 381979.

It is an arithmetic number, because the mean of its divisors is an integer number (381979).

2⁷⁶³⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

763957 is a deficient number, since it is larger than the sum of its proper divisors (1).

763957 is an equidigital number, since it uses as much as digits as its factorization.

763957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 39690, while the sum is 37.

The square root of 763957 is about 874.0463374444. The cubic root of 763957 is about 91.4161593781.

The spelling of 763957 in words is "seven hundred sixty-three thousand, nine hundred fifty-seven".