337009 has 4 divisors (see below), whose sum is σ = 348660. Its totient is φ = 325360.

The previous prime is 336997. The next prime is 337013. The reversal of 337009 is 900733.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 900733 = 19 ⋅47407.

It can be written as a sum of positive squares in 2 ways, for example, as 90000 + 247009 = 300^2 + 497^2 .

It is a cyclic number.

It is not a de Polignac number, because 337009 - 2⁵ = 336977 is a prime.

It is a super-2 number, since 2×337009² = 227150132162, which contains 22 as substring.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 337009.

It is not an unprimeable number, because it can be changed into a prime (337039) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5782 + ... + 5839.

It is an arithmetic number, because the mean of its divisors is an integer number (87165).

2³³⁷⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

337009 is a deficient number, since it is larger than the sum of its proper divisors (11651).

337009 is a wasteful number, since it uses less digits than its factorization.

337009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11650.

The product of its (nonzero) digits is 567, while the sum is 22.

The square root of 337009 is about 580.5247626071. The cubic root of 337009 is about 69.5900528569.

The spelling of 337009 in words is "three hundred thirty-seven thousand, nine".