123624225 has 60 divisors (see below), whose sum is σ = 234737580. Its totient is φ = 64281600.

The previous prime is 123624217. The next prime is 123624229. The reversal of 123624225 is 522426321.

It is a happy number.

123624225 is a `hidden beast` number, since 1 + 236 + 2 + 422 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 36687249 + 86936976 = 6057^2 + 9324^2 .

It is not a de Polignac number, because 123624225 - 2³ = 123624217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (123624229) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 82281 + ... + 83769.

It is an arithmetic number, because the mean of its divisors is an integer number (3912293).

Almost surely, 2^123624225 is an apocalyptic number.

123624225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123624225 is a deficient number, since it is larger than the sum of its proper divisors (111113355).

123624225 is a wasteful number, since it uses less digits than its factorization.

123624225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1538 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 123624225 is about 11118.6431276483. The cubic root of 123624225 is about 498.1588620771.

The spelling of 123624225 in words is "one hundred twenty-three million, six hundred twenty-four thousand, two hundred twenty-five".