338553 has 8 divisors (see below), whose sum is σ = 501600. Its totient is φ = 225684.

The previous prime is 338543. The next prime is 338563. The reversal of 338553 is 355833.

It is an interprime number because it is at equal distance from previous prime (338543) and next prime (338563).

It is not a de Polignac number, because 338553 - 2⁸ = 338297 is a prime.

It is a super-2 number, since 2×338553² = 229236267618, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 12539 = 338553 / (3 + 3 + 8 + 5 + 5 + 3).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (338543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6243 + ... + 6296.

It is an arithmetic number, because the mean of its divisors is an integer number (62700).

2³³⁸⁵⁵³ is an apocalyptic number.

It is an amenable number.

338553 is a deficient number, since it is larger than the sum of its proper divisors (163047).

338553 is a wasteful number, since it uses less digits than its factorization.

338553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12548 (or 12542 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 338553 is about 581.8530742378. The cubic root of 338553 is about 69.6961661151.

The spelling of 338553 in words is "three hundred thirty-eight thousand, five hundred fifty-three".