338107977 has 6 divisors (see below), whose sum is σ = 488378202. Its totient is φ = 225405312.

The previous prime is 338107967. The next prime is 338107993. The reversal of 338107977 is 779701833.

It can be written as a sum of positive squares in only one way, i.e., 293231376 + 44876601 = 17124^2 + 6699^2 .

It is not a de Polignac number, because 338107977 - 2¹² = 338103881 is a prime.

It is a super-2 number, since 2×338107977² = 228634008222065058, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338107967) 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 5 ways as a sum of consecutive naturals, for example, 18783768 + ... + 18783785.

It is an arithmetic number, because the mean of its divisors is an integer number (81396367).

Almost surely, 2^338107977 is an apocalyptic number.

It is an amenable number.

338107977 is a deficient number, since it is larger than the sum of its proper divisors (150270225).

338107977 is a wasteful number, since it uses less digits than its factorization.

338107977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37567559 (or 37567556 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 338107977 is about 18387.7126636240. The cubic root of 338107977 is about 696.6561452539.

The spelling of 338107977 in words is "three hundred thirty-eight million, one hundred seven thousand, nine hundred seventy-seven".