312013337 has 2 divisors, whose sum is σ = 312013338. Its totient is φ = 312013336.

The previous prime is 312013313. The next prime is 312013343. The reversal of 312013337 is 733310213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311840281 + 173056 = 17659^2 + 416^2 .

It is a cyclic number.

It is not a de Polignac number, because 312013337 - 2⁸ = 312013081 is a prime.

It is not a weakly prime, because it can be changed into another prime (312013397) 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, 156006668 + 156006669.

It is an arithmetic number, because the mean of its divisors is an integer number (156006669).

Almost surely, 2^312013337 is an apocalyptic number.

It is an amenable number.

312013337 is a deficient number, since it is larger than the sum of its proper divisors (1).

312013337 is an equidigital number, since it uses as much as digits as its factorization.

312013337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 23.

The square root of 312013337 is about 17663.8992580913. The cubic root of 312013337 is about 678.2519526931.

The spelling of 312013337 in words is "three hundred twelve million, thirteen thousand, three hundred thirty-seven".