31197312 has 192 divisors, whose sum is σ = 100245600. Its totient is φ = 9621504.

The previous prime is 31197307. The next prime is 31197319. The reversal of 31197312 is 21379113.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1134) is a multiple of the sum of its prime divisors (81).

It is not an unprimeable number, because it can be changed into a prime (31197319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528739 + ... + 528797.

Almost surely, 2^31197312 is an apocalyptic number.

31197312 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 31197312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50122800).

31197312 is an abundant number, since it is smaller than the sum of its proper divisors (69048288).

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

31197312 is an equidigital number, since it uses as much as digits as its factorization.

31197312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 81 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 31197312 is about 5585.4553977272. The cubic root of 31197312 is about 314.8031423065.

The spelling of 31197312 in words is "thirty-one million, one hundred ninety-seven thousand, three hundred twelve".