338813541 has 24 divisors (see below), whose sum is σ = 540658560. Its totient is φ = 202737600.

The previous prime is 338813509. The next prime is 338813549. The reversal of 338813541 is 145318833.

338813541 is a `hidden beast` number, since 3 + 38 + 81 + 3 + 541 = 666.

It is not a de Polignac number, because 338813541 - 2⁵ = 338813509 is a prime.

It is a super-2 number, since 2×338813541² = 229589231129917362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338813496 and 338813505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338813549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13840 + ... + 29481.

It is an arithmetic number, because the mean of its divisors is an integer number (22527440).

Almost surely, 2^338813541 is an apocalyptic number.

It is an amenable number.

338813541 is a deficient number, since it is larger than the sum of its proper divisors (201845019).

338813541 is a wasteful number, since it uses less digits than its factorization.

338813541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43417 (or 43414 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 338813541 is about 18406.8884116789. Note that the first 3 decimals coincide. The cubic root of 338813541 is about 697.1404027629.

The spelling of 338813541 in words is "three hundred thirty-eight million, eight hundred thirteen thousand, five hundred forty-one".