31642971 has 16 divisors (see below), whose sum is σ = 44052480. Its totient is φ = 20180160.

The previous prime is 31642951. The next prime is 31642979. The reversal of 31642971 is 17924613.

31642971 = 188² + 189² + ... + 466².

It is not a de Polignac number, because 31642971 - 2⁶ = 31642907 is a prime.

It is a super-2 number, since 2×31642971² = 2002555227413682, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31642979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6366 + ... + 10188.

It is an arithmetic number, because the mean of its divisors is an integer number (2753280).

Almost surely, 2^31642971 is an apocalyptic number.

31642971 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

31642971 is a deficient number, since it is larger than the sum of its proper divisors (12409509).

31642971 is a wasteful number, since it uses less digits than its factorization.

31642971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3946.

The product of its digits is 9072, while the sum is 33.

The square root of 31642971 is about 5625.2085294680. The cubic root of 31642971 is about 316.2950663539.

The spelling of 31642971 in words is "thirty-one million, six hundred forty-two thousand, nine hundred seventy-one".