337872 has 20 divisors (see below), whose sum is σ = 872960. Its totient is φ = 112608.

The previous prime is 337871. The next prime is 337873. The reversal of 337872 is 278733.

Added to its reverse (278733) it gives a triangular number (616605 = T₁₁₁₀).

It is an interprime number because it is at equal distance from previous prime (337871) and next prime (337873).

It is a super-2 number, since 2×337872² = 228314976768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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 (337871) 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, 3472 + ... + 3567.

It is an arithmetic number, because the mean of its divisors is an integer number (43648).

2³³⁷⁸⁷² is an apocalyptic number.

It is an amenable number.

337872 is an abundant number, since it is smaller than the sum of its proper divisors (535088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

337872 is a wasteful number, since it uses less digits than its factorization.

337872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7050 (or 7044 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 337872 is about 581.2675803793. The cubic root of 337872 is about 69.6494034233.

Adding to 337872 its reverse (278733), we get a triangular number (616605 = T₁₁₁₀).

The spelling of 337872 in words is "three hundred thirty-seven thousand, eight hundred seventy-two".