337627313 has 2 divisors, whose sum is σ = 337627314. Its totient is φ = 337627312.

The previous prime is 337627237. The next prime is 337627421. The reversal of 337627313 is 313726733.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 314423824 + 23203489 = 17732^2 + 4817^2 .

It is an emirp because it is prime and its reverse (313726733) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 337627313 - 2⁸ = 337627057 is a prime.

It is a super-2 number, since 2×337627313² = 227984404967199938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (337627513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 168813656 + 168813657.

It is an arithmetic number, because the mean of its divisors is an integer number (168813657).

Almost surely, 2^337627313 is an apocalyptic number.

It is an amenable number.

337627313 is a deficient number, since it is larger than the sum of its proper divisors (1).

337627313 is an equidigital number, since it uses as much as digits as its factorization.

337627313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 47628, while the sum is 35.

The square root of 337627313 is about 18374.6377651370. The cubic root of 337627313 is about 696.3258599026.

The spelling of 337627313 in words is "three hundred thirty-seven million, six hundred twenty-seven thousand, three hundred thirteen".