31059872 has 36 divisors (see below), whose sum is σ = 62935110. Its totient is φ = 15088896.

The previous prime is 31059871. The next prime is 31059883. The reversal of 31059872 is 27895013.

It can be written as a sum of positive squares in 3 ways, for example, as 30426256 + 633616 = 5516^2 + 796^2 .

It is not an unprimeable number, because it can be changed into a prime (31059871) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43454 + ... + 44162.

Almost surely, 2^31059872 is an apocalyptic number.

31059872 is a gapful number since it is divisible by the number (32) 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 31059872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31467555).

31059872 is an abundant number, since it is smaller than the sum of its proper divisors (31875238).

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

31059872 is an equidigital number, since it uses as much as digits as its factorization.

31059872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 31059872 is about 5573.1384335938. The cubic root of 31059872 is about 314.3401725387.

The spelling of 31059872 in words is "thirty-one million, fifty-nine thousand, eight hundred seventy-two".