164457 has 8 divisors (see below), whose sum is σ = 243680. Its totient is φ = 109620.

The previous prime is 164449. The next prime is 164471. The reversal of 164457 is 754461.

It is not a de Polignac number, because 164457 - 2³ = 164449 is a prime.

It is a super-2 number, since 2×164457² = 54092209698, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 6091 = 164457 / (1 + 6 + 4 + 4 + 5 + 7).

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 164457.

It is not an unprimeable number, because it can be changed into a prime (164447) 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 7 ways as a sum of consecutive naturals, for example, 3019 + ... + 3072.

It is an arithmetic number, because the mean of its divisors is an integer number (30460).

2¹⁶⁴⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

164457 is a deficient number, since it is larger than the sum of its proper divisors (79223).

164457 is an equidigital number, since it uses as much as digits as its factorization.

164457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6100 (or 6094 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 164457 is about 405.5329826290. The cubic root of 164457 is about 54.7878327366.

The spelling of 164457 in words is "one hundred sixty-four thousand, four hundred fifty-seven".