337493 has 6 divisors (see below), whose sum is σ = 365634. Its totient is φ = 311376.

The previous prime is 337489. The next prime is 337511. The reversal of 337493 is 394733.

It can be written as a sum of positive squares in 3 ways, for example, as 31684 + 305809 = 178^2 + 553^2 .

It is not a de Polignac number, because 337493 - 2² = 337489 is a prime.

It is a super-2 number, since 2×337493² = 227803050098, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 6.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (337453) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 830 + ... + 1167.

It is an arithmetic number, because the mean of its divisors is an integer number (60939).

2³³⁷⁴⁹³ is an apocalyptic number.

It is an amenable number.

337493 is a deficient number, since it is larger than the sum of its proper divisors (28141).

337493 is a wasteful number, since it uses less digits than its factorization.

337493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023 (or 2010 counting only the distinct ones).

The product of its digits is 6804, while the sum is 29.

The square root of 337493 is about 580.9414772591. The cubic root of 337493 is about 69.6233511509.

The spelling of 337493 in words is "three hundred thirty-seven thousand, four hundred ninety-three".