337013 has 2 divisors, whose sum is σ = 337014. Its totient is φ = 337012.

The previous prime is 336997. The next prime is 337021. The reversal of 337013 is 310733.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208849 + 128164 = 457^2 + 358^2 .

It is an emirp because it is prime and its reverse (310733) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 337013 - 2⁴ = 336997 is a prime.

It is a super-2 number, since 2×337013² = 227155524338, which contains 22 as substring.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 336982 and 337000.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 337013.

It is not a weakly prime, because it can be changed into another prime (337213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 168506 + 168507.

It is an arithmetic number, because the mean of its divisors is an integer number (168507).

2³³⁷⁰¹³ is an apocalyptic number.

It is an amenable number.

337013 is a deficient number, since it is larger than the sum of its proper divisors (1).

337013 is an equidigital number, since it uses as much as digits as its factorization.

337013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 17.

The square root of 337013 is about 580.5282077557. The cubic root of 337013 is about 69.5903281800.

Adding to 337013 its reverse (310733), we get a palindrome (647746).

The spelling of 337013 in words is "three hundred thirty-seven thousand, thirteen".