312975121 has 2 divisors, whose sum is σ = 312975122. Its totient is φ = 312975120.

The previous prime is 312975109. The next prime is 312975127. The reversal of 312975121 is 121579213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 175827600 + 137147521 = 13260^2 + 11711^2 .

It is a cyclic number.

It is not a de Polignac number, because 312975121 - 2¹⁹ = 312450833 is a prime.

It is not a weakly prime, because it can be changed into another prime (312975127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156487560 + 156487561.

It is an arithmetic number, because the mean of its divisors is an integer number (156487561).

Almost surely, 2^312975121 is an apocalyptic number.

It is an amenable number.

312975121 is a deficient number, since it is larger than the sum of its proper divisors (1).

312975121 is an equidigital number, since it uses as much as digits as its factorization.

312975121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3780, while the sum is 31.

The square root of 312975121 is about 17691.1028768701. The cubic root of 312975121 is about 678.9481438184.

The spelling of 312975121 in words is "three hundred twelve million, nine hundred seventy-five thousand, one hundred twenty-one".