338100057 has 6 divisors (see below), whose sum is σ = 488366762. Its totient is φ = 225400032.

The previous prime is 338100047. The next prime is 338100071. The reversal of 338100057 is 750001833.

It can be written as a sum of positive squares in only one way, i.e., 318836736 + 19263321 = 17856^2 + 4389^2 .

It is not a de Polignac number, because 338100057 - 2¹⁰ = 338099033 is a prime.

It is a super-2 number, since 2×338100057² = 228623297086806498, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 338100057.

It is not an unprimeable number, because it can be changed into a prime (338100047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18783328 + ... + 18783345.

Almost surely, 2^338100057 is an apocalyptic number.

It is an amenable number.

338100057 is a deficient number, since it is larger than the sum of its proper divisors (150266705).

338100057 is a wasteful number, since it uses less digits than its factorization.

338100057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37566679 (or 37566676 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 338100057 is about 18387.4973011555. The cubic root of 338100057 is about 696.6507056112.

It can be divided in two parts, 33 and 8100057, that multiplied together give a triangular number (267301881 = T₂₃₁₂₁).

The spelling of 338100057 in words is "three hundred thirty-eight million, one hundred thousand, fifty-seven".