312929213 has 2 divisors, whose sum is σ = 312929214. Its totient is φ = 312929212.

The previous prime is 312929161. The next prime is 312929219.

312929213 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 280462009 + 32467204 = 16747^2 + 5698^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 312929213 - 2²⁴ = 296151997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 312929213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312929219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156464606 + 156464607.

It is an arithmetic number, because the mean of its divisors is an integer number (156464607).

Almost surely, 2^312929213 is an apocalyptic number.

It is an amenable number.

312929213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312929213 is an equidigital number, since it uses as much as digits as its factorization.

312929213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5832, while the sum is 32.

The square root of 312929213 is about 17689.8053409301. The cubic root of 312929213 is about 678.9149455720.

The spelling of 312929213 in words is "three hundred twelve million, nine hundred twenty-nine thousand, two hundred thirteen".