225008 has 40 divisors (see below), whose sum is σ = 520800. Its totient is φ = 94080.

The previous prime is 224993. The next prime is 225023. The reversal of 225008 is 800522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (224993) and next prime (225023).

It is a congruent number.

It is an unprimeable number.

225008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 5468 + ... + 5508.

It is an arithmetic number, because the mean of its divisors is an integer number (13020).

2²²⁵⁰⁰⁸ is an apocalyptic number.

225008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260400).

225008 is an abundant number, since it is smaller than the sum of its proper divisors (295792).

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

225008 is an equidigital number, since it uses as much as digits as its factorization.

225008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 225008 is about 474.3500816907. The cubic root of 225008 is about 60.8227408008.

The spelling of 225008 in words is "two hundred twenty-five thousand, eight".