10170952 has 32 divisors (see below), whose sum is σ = 21319200. Its totient is φ = 4508800.

The previous prime is 10170943. The next prime is 10170961. The reversal of 10170952 is 25907101.

It is an interprime number because it is at equal distance from previous prime (10170943) and next prime (10170961).

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, 2199 + ... + 5017.

It is an arithmetic number, because the mean of its divisors is an integer number (666225).

Almost surely, 2^10170952 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 10170952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10659600).

10170952 is an abundant number, since it is smaller than the sum of its proper divisors (11148248).

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

10170952 is a wasteful number, since it uses less digits than its factorization.

10170952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 10170952 is about 3189.1930013720. The cubic root of 10170952 is about 216.6642219317.

It can be divided in two parts, 101709 and 52, that added together give a square (101761 = 319²).

The spelling of 10170952 in words is "ten million, one hundred seventy thousand, nine hundred fifty-two".