500957 has 2 divisors, whose sum is σ = 500958. Its totient is φ = 500956.

The previous prime is 500953. The next prime is 500977. The reversal of 500957 is 759005.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 481636 + 19321 = 694^2 + 139^2 .

It is a cyclic number.

It is not a de Polignac number, because 500957 - 2² = 500953 is a prime.

It is a Chen prime.

It is a zygodrome in base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 500957.

It is not a weakly prime, because it can be changed into another prime (500953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 250478 + 250479.

It is an arithmetic number, because the mean of its divisors is an integer number (250479).

2⁵⁰⁰⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

500957 is a deficient number, since it is larger than the sum of its proper divisors (1).

500957 is an equidigital number, since it uses as much as digits as its factorization.

500957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1575, while the sum is 26.

The square root of 500957 is about 707.7831588841. The cubic root of 500957 is about 79.4206584192.

The spelling of 500957 in words is "five hundred thousand, nine hundred fifty-seven".