31297032 has 96 divisors (see below), whose sum is σ = 94512600. Its totient is φ = 9289728.

The previous prime is 31297031. The next prime is 31297037. The reversal of 31297032 is 23079213.

It can be written as a sum of positive squares in 4 ways, for example, as 26071236 + 5225796 = 5106^2 + 2286^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31296987 and 31297005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31297031) 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, 26568 + ... + 27720.

Almost surely, 2^31297032 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 31297032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47256300).

31297032 is an abundant number, since it is smaller than the sum of its proper divisors (63215568).

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

31297032 is a wasteful number, since it uses less digits than its factorization.

31297032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 31297032 is about 5594.3750321193. The cubic root of 31297032 is about 315.1382008847.

It can be divided in two parts, 312 and 97032, that added together give a square (97344 = 312²).

The spelling of 31297032 in words is "thirty-one million, two hundred ninety-seven thousand, thirty-two".