31564129 has 2 divisors, whose sum is σ = 31564130. Its totient is φ = 31564128.

The previous prime is 31564103. The next prime is 31564133. The reversal of 31564129 is 92146513.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27040000 + 4524129 = 5200^2 + 2127^2 .

It is a cyclic number.

It is not a de Polignac number, because 31564129 - 2²³ = 23175521 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31564129.

It is not a weakly prime, because it can be changed into another prime (31564139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15782064 + 15782065.

It is an arithmetic number, because the mean of its divisors is an integer number (15782065).

Almost surely, 2^31564129 is an apocalyptic number.

It is an amenable number.

31564129 is a deficient number, since it is larger than the sum of its proper divisors (1).

31564129 is an equidigital number, since it uses as much as digits as its factorization.

31564129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6480, while the sum is 31.

The square root of 31564129 is about 5618.1962407876. The cubic root of 31564129 is about 316.0321530334.

The spelling of 31564129 in words is "thirty-one million, five hundred sixty-four thousand, one hundred twenty-nine".