357057 has 12 divisors (see below), whose sum is σ = 522340. Its totient is φ = 235008.

The previous prime is 357047. The next prime is 357073. The reversal of 357057 is 750753.

It can be written as a sum of positive squares in 2 ways, for example, as 254016 + 103041 = 504^2 + 321^2 .

It is not a de Polignac number, because 357057 - 2⁷ = 356929 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 357057.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 357057.

It is not an unprimeable number, because it can be changed into a prime (357047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 669 + ... + 1077.

2³⁵⁷⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

357057 is a deficient number, since it is larger than the sum of its proper divisors (165283).

357057 is a wasteful number, since it uses less digits than its factorization.

357057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 27.

The square root of 357057 is about 597.5424671101. The cubic root of 357057 is about 70.9434847493.

It can be divided in two parts, 3 and 57057, that multiplied together give a palindrome (171171).

The spelling of 357057 in words is "three hundred fifty-seven thousand, fifty-seven".