338973 has 8 divisors (see below), whose sum is σ = 456768. Its totient is φ = 223584.

The previous prime is 338959. The next prime is 338993. The reversal of 338973 is 379833.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 338973 - 2⁶ = 338909 is a prime.

It is a super-2 number, since 2×338973² = 229805389458, which contains 22 as substring.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240 + ... + 857.

It is an arithmetic number, because the mean of its divisors is an integer number (57096).

2³³⁸⁹⁷³ is an apocalyptic number.

It is an amenable number.

338973 is a deficient number, since it is larger than the sum of its proper divisors (117795).

338973 is a wasteful number, since it uses less digits than its factorization.

338973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203.

The product of its digits is 13608, while the sum is 33.

The square root of 338973 is about 582.2138782269. The cubic root of 338973 is about 69.7249752856.

The spelling of 338973 in words is "three hundred thirty-eight thousand, nine hundred seventy-three".