820957 has 2 divisors, whose sum is σ = 820958. Its totient is φ = 820956.

The previous prime is 820927. The next prime is 820969. The reversal of 820957 is 759028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 820836 + 121 = 906^2 + 11^2 .

It is a cyclic number.

It is not a de Polignac number, because 820957 - 2¹⁵ = 788189 is a prime.

It is a Chen prime.

It is equal to p₆₅₄₈₈ and since 820957 and 65488 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410478 + 410479.

It is an arithmetic number, because the mean of its divisors is an integer number (410479).

2⁸²⁰⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

820957 is a deficient number, since it is larger than the sum of its proper divisors (1).

820957 is an equidigital number, since it uses as much as digits as its factorization.

820957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 820957 is about 906.0667745812. The cubic root of 820957 is about 93.6354143755.

The spelling of 820957 in words is "eight hundred twenty thousand, nine hundred fifty-seven".