321257 has 4 divisors (see below), whose sum is σ = 324480. Its totient is φ = 318036.

The previous prime is 321247. The next prime is 321289. The reversal of 321257 is 752123.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 321257 - 2⁶ = 321193 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 321257.

It is not an unprimeable number, because it can be changed into a prime (321227) 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 in 3 ways as a sum of consecutive naturals, for example, 1457 + ... + 1662.

It is an arithmetic number, because the mean of its divisors is an integer number (81120).

2³²¹²⁵⁷ is an apocalyptic number.

It is an amenable number.

321257 is a deficient number, since it is larger than the sum of its proper divisors (3223).

321257 is a wasteful number, since it uses less digits than its factorization.

321257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222.

The product of its digits is 420, while the sum is 20.

The square root of 321257 is about 566.7953775394. The cubic root of 321257 is about 68.4884808449.

The spelling of 321257 in words is "three hundred twenty-one thousand, two hundred fifty-seven".