164257 has 4 divisors (see below), whose sum is σ = 166320. Its totient is φ = 162196.

The previous prime is 164251. The next prime is 164267. The reversal of 164257 is 752461.

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, and also an emirpimes, since its reverse is a distinct semiprime: 752461 = 647 ⋅1163.

It is a cyclic number.

It is not a de Polignac number, because 164257 - 2³ = 164249 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164251) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 907 + ... + 1072.

It is an arithmetic number, because the mean of its divisors is an integer number (41580).

2¹⁶⁴²⁵⁷ is an apocalyptic number.

It is an amenable number.

164257 is a deficient number, since it is larger than the sum of its proper divisors (2063).

164257 is an equidigital number, since it uses as much as digits as its factorization.

164257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062.

The product of its digits is 1680, while the sum is 25.

The square root of 164257 is about 405.2863185453. The cubic root of 164257 is about 54.7656141395.

The spelling of 164257 in words is "one hundred sixty-four thousand, two hundred fifty-seven".