338631257 has 16 divisors (see below), whose sum is σ = 350989200. Its totient is φ = 326556672.

The previous prime is 338631253. The next prime is 338631263. The reversal of 338631257 is 752136833.

It can be written as a sum of positive squares in 8 ways, for example, as 54405376 + 284225881 = 7376^2 + 16859^2 .

It is a cyclic number.

It is not a de Polignac number, because 338631257 - 2² = 338631253 is a prime.

It is a super-2 number, since 2×338631257² = 229342256434800098, 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 338631257.

It is not an unprimeable number, because it can be changed into a prime (338631253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1081733 + ... + 1082045.

It is an arithmetic number, because the mean of its divisors is an integer number (21936825).

Almost surely, 2^338631257 is an apocalyptic number.

It is an amenable number.

338631257 is a deficient number, since it is larger than the sum of its proper divisors (12357943).

338631257 is a wasteful number, since it uses less digits than its factorization.

338631257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652.

The product of its digits is 90720, while the sum is 38.

The square root of 338631257 is about 18401.9362296471. The cubic root of 338631257 is about 697.0153582353.

It can be divided in two parts, 3386 and 31257, that added together give a palindrome (34643).

The spelling of 338631257 in words is "three hundred thirty-eight million, six hundred thirty-one thousand, two hundred fifty-seven".