312624121 has 2 divisors, whose sum is σ = 312624122. Its totient is φ = 312624120.

The previous prime is 312624107. The next prime is 312624161. The reversal of 312624121 is 121426213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 234549225 + 78074896 = 15315^2 + 8836^2 .

It is a cyclic number.

It is not a de Polignac number, because 312624121 - 2¹⁵ = 312591353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312624092 and 312624101.

It is not a weakly prime, because it can be changed into another prime (312624161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156312060 + 156312061.

It is an arithmetic number, because the mean of its divisors is an integer number (156312061).

Almost surely, 2^312624121 is an apocalyptic number.

It is an amenable number.

312624121 is a deficient number, since it is larger than the sum of its proper divisors (1).

312624121 is an equidigital number, since it uses as much as digits as its factorization.

312624121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 576, while the sum is 22.

The square root of 312624121 is about 17681.1798531659. The cubic root of 312624121 is about 678.6942365841.

The spelling of 312624121 in words is "three hundred twelve million, six hundred twenty-four thousand, one hundred twenty-one".