931989312 has 84 divisors (see below), whose sum is σ = 2721871620. Its totient is φ = 304791552.

The previous prime is 931989281. The next prime is 931989313. The reversal of 931989312 is 213989139.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 242611776 + 689377536 = 15576^2 + 26256^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (931989313) 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, 15264 + ... + 45792.

Almost surely, 2^931989312 is an apocalyptic number.

It is a pronic number, being equal to 30528×30529.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 931989312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360935810).

931989312 is an abundant number, since it is smaller than the sum of its proper divisors (1789882308).

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

931989312 is a wasteful number, since it uses less digits than its factorization.

931989312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30600 (or 30587 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 931989312 is about 30528.4999959055. The cubic root of 931989312 is about 976.7954860169.

The spelling of 931989312 in words is "nine hundred thirty-one million, nine hundred eighty-nine thousand, three hundred twelve".