31948952 has 64 divisors (see below), whose sum is σ = 71884800. Its totient is φ = 13023360.

The previous prime is 31948951. The next prime is 31948991. The reversal of 31948952 is 25984913.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31948951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167177 + ... + 167367.

It is an arithmetic number, because the mean of its divisors is an integer number (1123200).

Almost surely, 2^31948952 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 31948952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35942400).

31948952 is an abundant number, since it is smaller than the sum of its proper divisors (39935848).

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

31948952 is a wasteful number, since it uses less digits than its factorization.

31948952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 332 counting only the distinct ones).

The product of its digits is 77760, while the sum is 41.

The square root of 31948952 is about 5652.3404002236. The cubic root of 31948952 is about 317.3113004420.

The spelling of 31948952 in words is "thirty-one million, nine hundred forty-eight thousand, nine hundred fifty-two".