338905089 has 24 divisors (see below), whose sum is σ = 507426920. Its totient is φ = 217790208.

The previous prime is 338905087. The next prime is 338905093. The reversal of 338905089 is 980509833.

It can be written as a sum of positive squares in 4 ways, for example, as 240002064 + 98903025 = 15492^2 + 9945^2 .

It is not a de Polignac number, because 338905089 - 2¹ = 338905087 is a prime.

It is a super-2 number, since 2×338905089² = 229713318700195842, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (338905087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31629 + ... + 40965.

Almost surely, 2^338905089 is an apocalyptic number.

It is an amenable number.

338905089 is a deficient number, since it is larger than the sum of its proper divisors (168521831).

338905089 is a wasteful number, since it uses less digits than its factorization.

338905089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9489 (or 9486 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 338905089 is about 18409.3750301307. The cubic root of 338905089 is about 697.2031866194.

The spelling of 338905089 in words is "three hundred thirty-eight million, nine hundred five thousand, eighty-nine".