337972 has 12 divisors (see below), whose sum is σ = 622720. Its totient is φ = 160056.

The previous prime is 337969. The next prime is 337973. The reversal of 337972 is 279733.

337972 is nontrivially palindromic in base 13.

It is a super-2 number, since 2×337972² = 228450145568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (337973) 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 3 ways as a sum of consecutive naturals, for example, 2148 + ... + 2299.

2³³⁷⁹⁷² is an apocalyptic number.

It is an amenable number.

337972 is a deficient number, since it is larger than the sum of its proper divisors (284748).

337972 is a wasteful number, since it uses less digits than its factorization.

337972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470 (or 4468 counting only the distinct ones).

The product of its digits is 7938, while the sum is 31.

The square root of 337972 is about 581.3535929191. The cubic root of 337972 is about 69.6562741252.

The spelling of 337972 in words is "three hundred thirty-seven thousand, nine hundred seventy-two".