164931 has 8 divisors (see below), whose sum is σ = 236880. Its totient is φ = 101472.

The previous prime is 164911. The next prime is 164953. The reversal of 164931 is 139461.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 164931 - 2⁹ = 164419 is a prime.

It is a super-2 number, since 2×164931² = 54404469522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2076 + ... + 2153.

It is an arithmetic number, because the mean of its divisors is an integer number (29610).

2¹⁶⁴⁹³¹ is an apocalyptic number.

164931 is a deficient number, since it is larger than the sum of its proper divisors (71949).

164931 is a wasteful number, since it uses less digits than its factorization.

164931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4245.

The product of its digits is 648, while the sum is 24.

The square root of 164931 is about 406.1169782218. The cubic root of 164931 is about 54.8404189704.

The spelling of 164931 in words is "one hundred sixty-four thousand, nine hundred thirty-one".