31972733 has 16 divisors (see below), whose sum is σ = 36691200. Its totient is φ = 27599616.

The previous prime is 31972729. The next prime is 31972741. The reversal of 31972733 is 33727913.

It is a cyclic number.

It is not a de Polignac number, because 31972733 - 2² = 31972729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31972693 and 31972702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31972753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43616 + ... + 44342.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2^31972733 is an apocalyptic number.

It is an amenable number.

31972733 is a deficient number, since it is larger than the sum of its proper divisors (4718467).

31972733 is a wasteful number, since it uses less digits than its factorization.

31972733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956.

The product of its digits is 23814, while the sum is 35.

The square root of 31972733 is about 5654.4436507936. The cubic root of 31972733 is about 317.3900104682.

The spelling of 31972733 in words is "thirty-one million, nine hundred seventy-two thousand, seven hundred thirty-three".