338973105 has 32 divisors (see below), whose sum is σ = 551358720. Its totient is φ = 177811200.

The previous prime is 338973101. The next prime is 338973109. The reversal of 338973105 is 501379833.

It is an interprime number because it is at equal distance from previous prime (338973101) and next prime (338973109).

It is not a de Polignac number, because 338973105 - 2² = 338973101 is a prime.

It is a super-2 number, since 2×338973105² = 229805531826682050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (338973101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246199 + ... + 247571.

It is an arithmetic number, because the mean of its divisors is an integer number (17229960).

Almost surely, 2^338973105 is an apocalyptic number.

It is an amenable number.

338973105 is a deficient number, since it is larger than the sum of its proper divisors (212385615).

338973105 is a wasteful number, since it uses less digits than its factorization.

338973105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641.

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 338973105 is about 18411.2222570909. Note that the first 4 decimals coincide. The cubic root of 338973105 is about 697.2498248488.

The spelling of 338973105 in words is "three hundred thirty-eight million, nine hundred seventy-three thousand, one hundred five".