164952956 has 48 divisors (see below), whose sum is σ = 342820800. Its totient is φ = 67972608.

The previous prime is 164952937. The next prime is 164952979. The reversal of 164952956 is 659259461.

It is a self number, because there is not a number n which added to its sum of digits gives 164952956.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91310 + ... + 93098.

It is an arithmetic number, because the mean of its divisors is an integer number (7142100).

Almost surely, 2^164952956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164952956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171410400).

164952956 is an abundant number, since it is smaller than the sum of its proper divisors (177867844).

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

164952956 is a wasteful number, since it uses less digits than its factorization.

164952956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1924 counting only the distinct ones).

The product of its digits is 583200, while the sum is 47.

The square root of 164952956 is about 12843.4012629054. The cubic root of 164952956 is about 548.4285235734.

The spelling of 164952956 in words is "one hundred sixty-four million, nine hundred fifty-two thousand, nine hundred fifty-six".