338577225 has 24 divisors (see below), whose sum is σ = 639750720. Its totient is φ = 154777920.

The previous prime is 338577209. The next prime is 338577241. The reversal of 338577225 is 522775833.

It is an interprime number because it is at equal distance from previous prime (338577209) and next prime (338577241).

It is not a de Polignac number, because 338577225 - 2⁴ = 338577209 is a prime.

It is a super-2 number, since 2×338577225² = 229269074577401250, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321930 + ... + 322979.

It is an arithmetic number, because the mean of its divisors is an integer number (26656280).

Almost surely, 2^338577225 is an apocalyptic number.

338577225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

338577225 is a deficient number, since it is larger than the sum of its proper divisors (301173495).

338577225 is a wasteful number, since it uses less digits than its factorization.

338577225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644929 (or 644924 counting only the distinct ones).

The product of its digits is 352800, while the sum is 42.

The square root of 338577225 is about 18400.4680646988. The cubic root of 338577225 is about 696.9782843422.

The spelling of 338577225 in words is "three hundred thirty-eight million, five hundred seventy-seven thousand, two hundred twenty-five".