31968953 has 2 divisors, whose sum is σ = 31968954. Its totient is φ = 31968952.

The previous prime is 31968949. The next prime is 31968997. The reversal of 31968953 is 35986913.

It is an a-pointer prime, because the next prime (31968997) can be obtained adding 31968953 to its sum of digits (44).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31956409 + 12544 = 5653^2 + 112^2 .

It is a cyclic number.

It is not a de Polignac number, because 31968953 - 2² = 31968949 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (31968913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15984476 + 15984477.

It is an arithmetic number, because the mean of its divisors is an integer number (15984477).

Almost surely, 2^31968953 is an apocalyptic number.

It is an amenable number.

31968953 is a deficient number, since it is larger than the sum of its proper divisors (1).

31968953 is an equidigital number, since it uses as much as digits as its factorization.

31968953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 174960, while the sum is 44.

The square root of 31968953 is about 5654.1093905230. The cubic root of 31968953 is about 317.3775020857.

The spelling of 31968953 in words is "thirty-one million, nine hundred sixty-eight thousand, nine hundred fifty-three".