31333968 has 60 divisors (see below), whose sum is σ = 90076948. Its totient is φ = 10160640.

The previous prime is 31333961. The next prime is 31333969. The reversal of 31333968 is 86933313.

31333968 is a `hidden beast` number, since 313 + 339 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27123264 + 4210704 = 5208^2 + 2052^2 .

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31333961) by changing a digit.

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, 2388 + ... + 8268.

Almost surely, 2^31333968 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 31333968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45038474).

31333968 is an abundant number, since it is smaller than the sum of its proper divisors (58742980).

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

31333968 is a wasteful number, since it uses less digits than its factorization.

31333968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5932 (or 5923 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 31333968 is about 5597.6752317368. The cubic root of 31333968 is about 315.2621249736.

The spelling of 31333968 in words is "thirty-one million, three hundred thirty-three thousand, nine hundred sixty-eight".