164292 has 12 divisors (see below), whose sum is σ = 383376. Its totient is φ = 54760.

The previous prime is 164291. The next prime is 164299. The reversal of 164292 is 292461.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×164292² = 53983722528, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 164292.

It is not an unprimeable number, because it can be changed into a prime (164291) 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, 6834 + ... + 6857.

It is an arithmetic number, because the mean of its divisors is an integer number (31948).

2¹⁶⁴²⁹² is an apocalyptic number.

164292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164292 is an abundant number, since it is smaller than the sum of its proper divisors (219084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164292 is a wasteful number, since it uses less digits than its factorization.

164292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13698 (or 13696 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 164292 is about 405.3294955959. The cubic root of 164292 is about 54.7695036954.

The spelling of 164292 in words is "one hundred sixty-four thousand, two hundred ninety-two".