338782561 has 8 divisors (see below), whose sum is σ = 369841640. Its totient is φ = 308437632.

The previous prime is 338782547. The next prime is 338782567. The reversal of 338782561 is 165287833.

It can be written as a sum of positive squares in 4 ways, for example, as 8088336 + 330694225 = 2844^2 + 18185^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 338782561 - 2⁵ = 338782529 is a prime.

It is a super-2 number, since 2×338782561² = 229547247275437442, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (338782567) 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, 177546 + ... + 179443.

It is an arithmetic number, because the mean of its divisors is an integer number (46230205).

Almost surely, 2^338782561 is an apocalyptic number.

It is an amenable number.

338782561 is a deficient number, since it is larger than the sum of its proper divisors (31059079).

338782561 is a wasteful number, since it uses less digits than its factorization.

338782561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357075.

The product of its digits is 241920, while the sum is 43.

The square root of 338782561 is about 18406.0468596600. The cubic root of 338782561 is about 697.1191540372.

The spelling of 338782561 in words is "three hundred thirty-eight million, seven hundred eighty-two thousand, five hundred sixty-one".