338972 has 12 divisors (see below), whose sum is σ = 600936. Its totient is φ = 167280.

The previous prime is 338959. The next prime is 338993. The reversal of 338972 is 279833.

It is a super-2 number, since 2×338972² = 229804033568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

338972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 179 + ... + 842.

It is an arithmetic number, because the mean of its divisors is an integer number (50078).

2³³⁸⁹⁷² is an apocalyptic number.

It is an amenable number.

338972 is a deficient number, since it is larger than the sum of its proper divisors (261964).

338972 is a wasteful number, since it uses less digits than its factorization.

338972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1106 counting only the distinct ones).

The product of its digits is 9072, while the sum is 32.

The square root of 338972 is about 582.2130194353. The cubic root of 338972 is about 69.7249067206.

The spelling of 338972 in words is "three hundred thirty-eight thousand, nine hundred seventy-two".