164952 has 48 divisors (see below), whose sum is σ = 468000. Its totient is φ = 52416.

The previous prime is 164911. The next prime is 164953. The reversal of 164952 is 259461.

Its product of digits (2160) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2049 + ... + 2127.

It is an arithmetic number, because the mean of its divisors is an integer number (9750).

2¹⁶⁴⁹⁵² is an apocalyptic number.

164952 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 164952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234000).

164952 is an abundant number, since it is smaller than the sum of its proper divisors (303048).

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

164952 is a wasteful number, since it uses less digits than its factorization.

164952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 113 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 164952 is about 406.1428320185. The cubic root of 164952 is about 54.8427464082.

The spelling of 164952 in words is "one hundred sixty-four thousand, nine hundred fifty-two".