338157 has 6 divisors (see below), whose sum is σ = 488462. Its totient is φ = 225432.

The previous prime is 338153. The next prime is 338159. The reversal of 338157 is 751833.

It can be written as a sum of positive squares in only one way, i.e., 335241 + 2916 = 579^2 + 54^2 .

It is not a de Polignac number, because 338157 - 2² = 338153 is a prime.

It is a super-2 number, since 2×338157² = 228700313298, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

338157 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 338157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338153) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18778 + ... + 18795.

2³³⁸¹⁵⁷ is an apocalyptic number.

It is an amenable number.

338157 is a deficient number, since it is larger than the sum of its proper divisors (150305).

338157 is a wasteful number, since it uses less digits than its factorization.

338157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37579 (or 37576 counting only the distinct ones).

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

The square root of 338157 is about 581.5126825788. The cubic root of 338157 is about 69.6689813516.

The spelling of 338157 in words is "three hundred thirty-eight thousand, one hundred fifty-seven".