321057 has 32 divisors (see below), whose sum is σ = 552960. Its totient is φ = 182160.

The previous prime is 321053. The next prime is 321073. The reversal of 321057 is 750123.

It is not a de Polignac number, because 321057 - 2² = 321053 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 321057.

It is not an unprimeable number, because it can be changed into a prime (321053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6808 + ... + 6854.

It is an arithmetic number, because the mean of its divisors is an integer number (17280).

2³²¹⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

321057 is a deficient number, since it is larger than the sum of its proper divisors (231903).

321057 is a wasteful number, since it uses less digits than its factorization.

321057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 321057 is about 566.6189195571. The cubic root of 321057 is about 68.4742652899.

It can be divided in two parts, 32 and 1057, that added together give a square (1089 = 33²).

The spelling of 321057 in words is "three hundred twenty-one thousand, fifty-seven".