338155321 has 27 divisors (see below), whose sum is σ = 410057487. Its totient is φ = 278041680.

The previous prime is 338155309. The next prime is 338155339. The reversal of 338155321 is 123551833.

The square root of 338155321 is 18389.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 302586025 + 35569296 = 17395^2 + 5964^2 .

It is not a de Polignac number, because 338155321 - 2²³ = 329766713 is a prime.

It is a super-2 number, since 2×338155321² = 228698042241226082, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338155121) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4762716 + ... + 4762786.

Almost surely, 2^338155321 is an apocalyptic number.

338155321 is the 18389-th square number.

338155321 is the 9195-th centered octagonal number.

It is an amenable number.

338155321 is a deficient number, since it is larger than the sum of its proper divisors (71902166).

338155321 is an frugal number, since it uses more digits than its factorization.

338155321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 115 counting only the distinct ones).

The product of its digits is 10800, while the sum is 31.

The cubic root of 338155321 is about 696.6886604576.

The spelling of 338155321 in words is "three hundred thirty-eight million, one hundred fifty-five thousand, three hundred twenty-one".