172531164 has 96 divisors (see below), whose sum is σ = 466373376. Its totient is φ = 49167360.

The previous prime is 172531133. The next prime is 172531169. The reversal of 172531164 is 461135271.

172531164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172531169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177199 + ... + 178169.

It is an arithmetic number, because the mean of its divisors is an integer number (4858056).

Almost surely, 2^172531164 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 172531164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233186688).

172531164 is an abundant number, since it is smaller than the sum of its proper divisors (293842212).

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

172531164 is a wasteful number, since it uses less digits than its factorization.

172531164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1073 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 172531164 is about 13135.1118761890. Note that the first 3 decimals coincide. The cubic root of 172531164 is about 556.7016614587.

The spelling of 172531164 in words is "one hundred seventy-two million, five hundred thirty-one thousand, one hundred sixty-four".