31972329 has 12 divisors (see below), whose sum is σ = 47430916. Its totient is φ = 20738592.

The previous prime is 31972319. The next prime is 31972331. The reversal of 31972329 is 92327913.

It can be written as a sum of positive squares in 2 ways, for example, as 29160000 + 2812329 = 5400^2 + 1677^2 .

It is not a de Polignac number, because 31972329 - 2¹⁵ = 31939561 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31972293 and 31972302.

It is not an unprimeable number, because it can be changed into a prime (31972319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47674 + ... + 48339.

Almost surely, 2^31972329 is an apocalyptic number.

It is an amenable number.

31972329 is a deficient number, since it is larger than the sum of its proper divisors (15458587).

31972329 is a wasteful number, since it uses less digits than its factorization.

31972329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96056 (or 96053 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 31972329 is about 5654.4079265649. The cubic root of 31972329 is about 317.3886736405.

The spelling of 31972329 in words is "thirty-one million, nine hundred seventy-two thousand, three hundred twenty-nine".