164657 has 4 divisors (see below), whose sum is σ = 171840. Its totient is φ = 157476.

The previous prime is 164653. The next prime is 164663. The reversal of 164657 is 756461.

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: 756461 = 61 ⋅12401.

It is a cyclic number.

It is not a de Polignac number, because 164657 - 2² = 164653 is a prime.

It is a super-2 number, since 2×164657² = 54223855298, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164653) 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 3 ways as a sum of consecutive naturals, for example, 3557 + ... + 3602.

It is an arithmetic number, because the mean of its divisors is an integer number (42960).

2¹⁶⁴⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

164657 is a deficient number, since it is larger than the sum of its proper divisors (7183).

164657 is an equidigital number, since it uses as much as digits as its factorization.

164657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7182.

The product of its digits is 5040, while the sum is 29.

The square root of 164657 is about 405.7794967713. The cubic root of 164657 is about 54.8100333273.

The spelling of 164657 in words is "one hundred sixty-four thousand, six hundred fifty-seven".