164892 has 48 divisors (see below), whose sum is σ = 476672. Its totient is φ = 43200.

The previous prime is 164881. The next prime is 164893. The reversal of 164892 is 298461.

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164893) by changing a digit.

164892 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1017 + ... + 1167.

2¹⁶⁴⁸⁹² is an apocalyptic number.

164892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238336).

164892 is an abundant number, since it is smaller than the sum of its proper divisors (311780).

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

164892 is a wasteful number, since it uses less digits than its factorization.

164892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 176 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 164892 is about 406.0689596608. The cubic root of 164892 is about 54.8360960618.

The spelling of 164892 in words is "one hundred sixty-four thousand, eight hundred ninety-two".