172964 has 12 divisors (see below), whose sum is σ = 330288. Its totient is φ = 78600.

The previous prime is 172933. The next prime is 172969. The reversal of 172964 is 469271.

It is not an unprimeable number, because it can be changed into a prime (172969) by changing a digit.

172964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1922 + ... + 2009.

It is an arithmetic number, because the mean of its divisors is an integer number (27524).

2¹⁷²⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

172964 is a deficient number, since it is larger than the sum of its proper divisors (157324).

172964 is a wasteful number, since it uses less digits than its factorization.

172964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3946 (or 3944 counting only the distinct ones).

The product of its digits is 3024, while the sum is 29.

The square root of 172964 is about 415.8894083768. The cubic root of 172964 is about 55.7166812783.

The spelling of 172964 in words is "one hundred seventy-two thousand, nine hundred sixty-four".