31008973 has 2 divisors, whose sum is σ = 31008974. Its totient is φ = 31008972.

The previous prime is 31008941. The next prime is 31008983. The reversal of 31008973 is 37980013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27060804 + 3948169 = 5202^2 + 1987^2 .

It is an emirp because it is prime and its reverse (37980013) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31008973 - 2⁵ = 31008941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31008983) 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, 15504486 + 15504487.

It is an arithmetic number, because the mean of its divisors is an integer number (15504487).

Almost surely, 2^31008973 is an apocalyptic number.

It is an amenable number.

31008973 is a deficient number, since it is larger than the sum of its proper divisors (1).

31008973 is an equidigital number, since it uses as much as digits as its factorization.

31008973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 31008973 is about 5568.5701037160. The cubic root of 31008973 is about 314.1683715718.

Adding to 31008973 its reverse (37980013), we get a palindrome (68988986).

The spelling of 31008973 in words is "thirty-one million, eight thousand, nine hundred seventy-three".