31330208 has 144 divisors (see below), whose sum is σ = 81443880. Its totient is φ = 11741184.

The previous prime is 31330193. The next prime is 31330217. The reversal of 31330208 is 80203313.

It can be written as a sum of positive squares in 4 ways, for example, as 25120144 + 6210064 = 5012^2 + 2492^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 31330208.

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 23 ways as a sum of consecutive naturals, for example, 591110 + ... + 591162.

Almost surely, 2^31330208 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 31330208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40721940).

31330208 is an abundant number, since it is smaller than the sum of its proper divisors (50113672).

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

31330208 is a wasteful number, since it uses less digits than its factorization.

31330208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 31330208 is about 5597.3393679497. The cubic root of 31330208 is about 315.2495142396.

The spelling of 31330208 in words is "thirty-one million, three hundred thirty thousand, two hundred eight".