337413 has 8 divisors (see below), whose sum is σ = 459648. Its totient is φ = 220064.

The previous prime is 337411. The next prime is 337427. The reversal of 337413 is 314733.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 337413 - 2¹ = 337411 is a prime.

It is a super-2 number, since 2×337413² = 227695065138, which contains 22 as substring.

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 337413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (337411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1056 + ... + 1337.

It is an arithmetic number, because the mean of its divisors is an integer number (57456).

2³³⁷⁴¹³ is an apocalyptic number.

It is an amenable number.

337413 is a deficient number, since it is larger than the sum of its proper divisors (122235).

337413 is a wasteful number, since it uses less digits than its factorization.

337413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443.

The product of its digits is 756, while the sum is 21.

The square root of 337413 is about 580.8726194270. The cubic root of 337413 is about 69.6178494978.

The spelling of 337413 in words is "three hundred thirty-seven thousand, four hundred thirteen".