87825 has 12 divisors (see below), whose sum is σ = 145328. Its totient is φ = 46800.

The previous prime is 87811. The next prime is 87833. The reversal of 87825 is 52878.

It is not a de Polignac number, because 87825 - 2⁵ = 87793 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 87792 and 87801.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 511 + ... + 660.

2⁸⁷⁸²⁵ is an apocalyptic number.

It is an amenable number.

87825 is a deficient number, since it is larger than the sum of its proper divisors (57503).

87825 is a wasteful number, since it uses less digits than its factorization.

87825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1179 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 87825 is about 296.3528302547. The cubic root of 87825 is about 44.4500976605.

It can be divided in two parts, 878 and 25, that added together give a triangular number (903 = T₄₂).

The spelling of 87825 in words is "eighty-seven thousand, eight hundred twenty-five".