31974912 has 120 divisors (see below), whose sum is σ = 96071976. Its totient is φ = 10616832.

The previous prime is 31974911. The next prime is 31974913. The reversal of 31974912 is 21947913.

31974912 = T₆₃ + T₆₄ + ... + T₅₇₆.

It is an interprime number because it is at equal distance from previous prime (31974911) and next prime (31974913).

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

It is a nialpdrome in base 12.

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 (31974911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124288 + ... + 124544.

Almost surely, 2^31974912 is an apocalyptic number.

31974912 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 31974912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48035988).

31974912 is an abundant number, since it is smaller than the sum of its proper divisors (64097064).

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

31974912 is an frugal number, since it uses more digits than its factorization.

31974912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 262 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 31974912 is about 5654.6363278287. The cubic root of 31974912 is about 317.3972205402.

The spelling of 31974912 in words is "thirty-one million, nine hundred seventy-four thousand, nine hundred twelve".