164813232 has 90 divisors (see below), whose sum is σ = 456473388. Its totient is φ = 51231744.

The previous prime is 164813203. The next prime is 164813237. The reversal of 164813232 is 232318461.

164813232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 164813232.

It is not an unprimeable number, because it can be changed into a prime (164813237) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1511994 + ... + 1512102.

Almost surely, 2^164813232 is an apocalyptic number.

164813232 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 164813232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228236694).

164813232 is an abundant number, since it is smaller than the sum of its proper divisors (291660156).

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

164813232 is a wasteful number, since it uses less digits than its factorization.

164813232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 131 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 164813232 is about 12837.9605857005. The cubic root of 164813232 is about 548.2736303738.

Multiplying 164813232 by its product of digits (6912), we get a square (1139189059584 = 1067328²).

The spelling of 164813232 in words is "one hundred sixty-four million, eight hundred thirteen thousand, two hundred thirty-two".