338885541 has 12 divisors (see below), whose sum is σ = 501440940. Its totient is φ = 220413120.

The previous prime is 338885527. The next prime is 338885549. The reversal of 338885541 is 145588833.

It can be written as a sum of positive squares in 2 ways, for example, as 197964900 + 140920641 = 14070^2 + 11871^2 .

It is not a de Polignac number, because 338885541 - 2¹³ = 338877349 is a prime.

It is a super-2 number, since 2×338885541² = 229686819797725362, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338885549) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 458826 + ... + 459563.

It is an arithmetic number, because the mean of its divisors is an integer number (41786745).

Almost surely, 2^338885541 is an apocalyptic number.

It is an amenable number.

338885541 is a deficient number, since it is larger than the sum of its proper divisors (162555399).

338885541 is a wasteful number, since it uses less digits than its factorization.

338885541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918436 (or 918433 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 338885541 is about 18408.8440973354. The cubic root of 338885541 is about 697.1897814996.

The spelling of 338885541 in words is "three hundred thirty-eight million, eight hundred eighty-five thousand, five hundred forty-one".