31963872 has 48 divisors (see below), whose sum is σ = 84324240. Its totient is φ = 10601472.

The previous prime is 31963801. The next prime is 31963879. The reversal of 31963872 is 27836913.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×31963872² = 2043378226464768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31963872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31963879) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21654 + ... + 23082.

It is an arithmetic number, because the mean of its divisors is an integer number (1756755).

Almost surely, 2^31963872 is an apocalyptic number.

31963872 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 31963872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42162120).

31963872 is an abundant number, since it is smaller than the sum of its proper divisors (52360368).

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

31963872 is a wasteful number, since it uses less digits than its factorization.

31963872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1667 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 31963872 is about 5653.6600534521. The cubic root of 31963872 is about 317.3606870159.

The spelling of 31963872 in words is "thirty-one million, nine hundred sixty-three thousand, eight hundred seventy-two".