173132964 has 135 divisors (see below), whose sum is σ = 492234897. Its totient is φ = 53053056.

The previous prime is 173132909. The next prime is 173132977. The reversal of 173132964 is 469231371.

The square root of 173132964 is 13158.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 134792100 + 38340864 = 11610^2 + 6192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4026327 + ... + 4026369.

Almost surely, 2^173132964 is an apocalyptic number.

173132964 is the 13158-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 173132964

173132964 is an abundant number, since it is smaller than the sum of its proper divisors (319101933).

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

173132964 is a wasteful number, since it uses less digits than its factorization.

173132964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 65 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The cubic root of 173132964 is about 557.3481809584.

Multiplying 173132964 by its sum of digits (36), we get a square (6232786704 = 78948²).

173132964 divided by its sum of digits (36) gives a square (4809249 = 2193²).

The spelling of 173132964 in words is "one hundred seventy-three million, one hundred thirty-two thousand, nine hundred sixty-four".