4185225 has 72 divisors (see below), whose sum is σ = 8704800. Its totient is φ = 1900800.

The previous prime is 4185211. The next prime is 4185229. The reversal of 4185225 is 5225814.

It is a happy number.

It is not a de Polignac number, because 4185225 - 2¹¹ = 4183177 is a prime.

It is a super-2 number, since 2×4185225² = 35032216601250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4185229) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46981 + ... + 47069.

It is an arithmetic number, because the mean of its divisors is an integer number (120900).

Almost surely, 2^4185225 is an apocalyptic number.

4185225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4185225 is an abundant number, since it is smaller than the sum of its proper divisors (4519575).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4185225 is a wasteful number, since it uses less digits than its factorization.

4185225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 127 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 4185225 is about 2045.7822464769. The cubic root of 4185225 is about 161.1534485995.

Subtracting from 4185225 its product of digits (3200), we obtain a square (4182025 = 2045²).

The spelling of 4185225 in words is "four million, one hundred eighty-five thousand, two hundred twenty-five".