31893984 has 72 divisors (see below), whose sum is σ = 92284920. Its totient is φ = 10445568.

The previous prime is 31893977. The next prime is 31893991. The reversal of 31893984 is 48939813.

It is an interprime number because it is at equal distance from previous prime (31893977) and next prime (31893991).

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 16054 + ... + 17930.

It is an arithmetic number, because the mean of its divisors is an integer number (1281735).

Almost surely, 2^31893984 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 31893984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46142460).

31893984 is an abundant number, since it is smaller than the sum of its proper divisors (60390936).

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

31893984 is a wasteful number, since it uses less digits than its factorization.

31893984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1941 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 31893984 is about 5647.4758963629. The cubic root of 31893984 is about 317.1292185168.

The spelling of 31893984 in words is "thirty-one million, eight hundred ninety-three thousand, nine hundred eighty-four".