225738825 has 48 divisors (see below), whose sum is σ = 411806976. Its totient is φ = 108403200.

The previous prime is 225738797. The next prime is 225738827. The reversal of 225738825 is 528837522.

It is not a de Polignac number, because 225738825 - 2²⁵ = 192184393 is a prime.

It is a super-2 number, since 2×225738825² = 101916034224761250, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (225738827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37152 + ... + 42798.

It is an arithmetic number, because the mean of its divisors is an integer number (8579312).

Almost surely, 2^225738825 is an apocalyptic number.

225738825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

225738825 is a deficient number, since it is larger than the sum of its proper divisors (186068151).

225738825 is a wasteful number, since it uses less digits than its factorization.

225738825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5714 (or 5709 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 225738825 is about 15024.6073160000. The cubic root of 225738825 is about 608.8852030028.

The spelling of 225738825 in words is "two hundred twenty-five million, seven hundred thirty-eight thousand, eight hundred twenty-five".