87025 has 9 divisors (see below), whose sum is σ = 109771. Its totient is φ = 68440.

The previous prime is 87013. The next prime is 87037. The reversal of 87025 is 52078.

87025 = T₂₉₄ + T₂₉₅.

The square root of 87025 is 295.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (87013) and next prime (87037).

It can be written as a sum of positive squares in only one way, i.e., 31329 + 55696 = 177^2 + 236^2 .

It is not a de Polignac number, because 87025 - 2⁵ = 86993 is a prime.

It is a Duffinian number.

87025 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 86987 and 87005.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1446 + ... + 1504.

2⁸⁷⁰²⁵ is an apocalyptic number.

87025 is the 295-th square number.

87025 is the 148-th centered octagonal number.

It is an amenable number.

87025 is a deficient number, since it is larger than the sum of its proper divisors (22746).

87025 is an equidigital number, since it uses as much as digits as its factorization.

87025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The cubic root of 87025 is about 44.3147201089.

The spelling of 87025 in words is "eighty-seven thousand, twenty-five".