172997952 has 56 divisors (see below), whose sum is σ = 465258912. Its totient is φ = 56716800.

The previous prime is 172997941. The next prime is 172997969. The reversal of 172997952 is 259799271.

172997952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 172997895 and 172997904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4327 + ... + 19097.

Almost surely, 2^172997952 is an apocalyptic number.

172997952 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 172997952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232629456).

172997952 is an abundant number, since it is smaller than the sum of its proper divisors (292260960).

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

172997952 is a wasteful number, since it uses less digits than its factorization.

172997952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14847 (or 14837 counting only the distinct ones).

The product of its digits is 714420, while the sum is 51.

The square root of 172997952 is about 13152.8685844572. The cubic root of 172997952 is about 557.2032667849.

It can be divided in two parts, 1729 and 97952, that added together give a triangular number (99681 = T₄₄₆).

The spelling of 172997952 in words is "one hundred seventy-two million, nine hundred ninety-seven thousand, nine hundred fifty-two".