338150817 has 24 divisors (see below), whose sum is σ = 508271400. Its totient is φ = 216373248.

The previous prime is 338150779. The next prime is 338150833. The reversal of 338150817 is 718051833.

It can be written as a sum of positive squares in 4 ways, for example, as 122677776 + 215473041 = 11076^2 + 14679^2 .

It is not a de Polignac number, because 338150817 - 2¹⁰ = 338149793 is a prime.

It is a super-2 number, since 2×338150817² = 228691950075534978, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338150837) 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, 41409 + ... + 48897.

It is an arithmetic number, because the mean of its divisors is an integer number (21177975).

Almost surely, 2^338150817 is an apocalyptic number.

It is an amenable number.

338150817 is a deficient number, since it is larger than the sum of its proper divisors (170120583).

338150817 is a wasteful number, since it uses less digits than its factorization.

338150817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7697 (or 7694 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 338150817 is about 18388.8775350754. The cubic root of 338150817 is about 696.6855673034.

The spelling of 338150817 in words is "three hundred thirty-eight million, one hundred fifty thousand, eight hundred seventeen".