31974144 has 144 divisors (see below), whose sum is σ = 94187520. Its totient is φ = 9584640.

The previous prime is 31974143. The next prime is 31974157. The reversal of 31974144 is 44147913.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31974143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404697 + ... + 404775.

It is an arithmetic number, because the mean of its divisors is an integer number (654080).

Almost surely, 2^31974144 is an apocalyptic number.

31974144 is a gapful number since it is divisible by the number (34) 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 31974144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47093760).

31974144 is an abundant number, since it is smaller than the sum of its proper divisors (62213376).

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

31974144 is a wasteful number, since it uses less digits than its factorization.

31974144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 132 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 31974144 is about 5654.5684185444. The cubic root of 31974144 is about 317.3946793498.

The spelling of 31974144 in words is "thirty-one million, nine hundred seventy-four thousand, one hundred forty-four".