31006957 has 2 divisors, whose sum is σ = 31006958. Its totient is φ = 31006956.

The previous prime is 31006949. The next prime is 31006973. The reversal of 31006957 is 75960013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23532201 + 7474756 = 4851^2 + 2734^2 .

It is a cyclic number.

It is not a de Polignac number, because 31006957 - 2³ = 31006949 is a prime.

It is a super-2 number, since 2×31006957² = 1922862764799698, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31006357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15503478 + 15503479.

It is an arithmetic number, because the mean of its divisors is an integer number (15503479).

Almost surely, 2^31006957 is an apocalyptic number.

It is an amenable number.

31006957 is a deficient number, since it is larger than the sum of its proper divisors (1).

31006957 is an equidigital number, since it uses as much as digits as its factorization.

31006957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 31006957 is about 5568.3890848252. The cubic root of 31006957 is about 314.1615630354.

The spelling of 31006957 in words is "thirty-one million, six thousand, nine hundred fifty-seven".