164633052 has 48 divisors (see below), whose sum is σ = 392999040. Its totient is φ = 53621568.

The previous prime is 164633041. The next prime is 164633059. The reversal of 164633052 is 250336461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164633059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240703 + ... + 241385.

It is an arithmetic number, because the mean of its divisors is an integer number (8187480).

Almost surely, 2^164633052 is an apocalyptic number.

164633052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164633052 is an abundant number, since it is smaller than the sum of its proper divisors (228365988).

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

164633052 is a wasteful number, since it uses less digits than its factorization.

164633052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 164633052 is about 12830.9411969660. The cubic root of 164633052 is about 548.0737597628.

The spelling of 164633052 in words is "one hundred sixty-four million, six hundred thirty-three thousand, fifty-two".