852057 has 12 divisors (see below), whose sum is σ = 1303380. Its totient is φ = 534528.

The previous prime is 852037. The next prime is 852079. The reversal of 852057 is 750258.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 404496 + 447561 = 636^2 + 669^2 .

It is not a de Polignac number, because 852057 - 2⁸ = 851801 is a prime.

It is a super-2 number, since 2×852057² = 1452002262498, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 852057.

It is not an unprimeable number, because it can be changed into a prime (852037) by changing a digit.

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 in 11 ways as a sum of consecutive naturals, for example, 2632 + ... + 2937.

It is an arithmetic number, because the mean of its divisors is an integer number (108615).

2⁸⁵²⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

852057 is a deficient number, since it is larger than the sum of its proper divisors (451323).

852057 is a wasteful number, since it uses less digits than its factorization.

852057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5592 (or 5589 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 852057 is about 923.0693365073. The cubic root of 852057 is about 94.8031751327.

The spelling of 852057 in words is "eight hundred fifty-two thousand, fifty-seven".