31871952 has 90 divisors (see below), whose sum is σ = 103782978. Its totient is φ = 9104256.

The previous prime is 31871947. The next prime is 31871953. The reversal of 31871952 is 25917813.

It can be written as a sum of positive squares in only one way, i.e., 16941456 + 14930496 = 4116^2 + 3864^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31871953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4798 + ... + 9314.

Almost surely, 2^31871952 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 31871952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51891489).

31871952 is an abundant number, since it is smaller than the sum of its proper divisors (71911026).

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

31871952 is a wasteful number, since it uses less digits than its factorization.

31871952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4545 (or 4529 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 31871952 is about 5645.5249534476. The cubic root of 31871952 is about 317.0561786147.

It can be divided in two parts, 31871 and 952, that added together give a palindrome (32823).

The spelling of 31871952 in words is "thirty-one million, eight hundred seventy-one thousand, nine hundred fifty-two".