87225 has 12 divisors (see below), whose sum is σ = 144336. Its totient is φ = 46480.

The previous prime is 87223. The next prime is 87251. The reversal of 87225 is 52278.

It is not a de Polignac number, because 87225 - 2¹ = 87223 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 87195 and 87204.

It is not an unprimeable number, because it can be changed into a prime (87221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 507 + ... + 656.

It is an arithmetic number, because the mean of its divisors is an integer number (12028).

2⁸⁷²²⁵ is an apocalyptic number.

It is an amenable number.

87225 is a deficient number, since it is larger than the sum of its proper divisors (57111).

87225 is a wasteful number, since it uses less digits than its factorization.

87225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1171 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 87225 is about 295.3387885124. The cubic root of 87225 is about 44.3486420207.

The spelling of 87225 in words is "eighty-seven thousand, two hundred twenty-five".