87652 has 12 divisors (see below), whose sum is σ = 162540. Its totient is φ = 41216.

The previous prime is 87649. The next prime is 87671. The reversal of 87652 is 25678.

It can be written as a sum of positive squares in 2 ways, for example, as 69696 + 17956 = 264^2 + 134^2 .

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 87652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 577 + ... + 712.

It is an arithmetic number, because the mean of its divisors is an integer number (13545).

2⁸⁷⁶⁵² is an apocalyptic number.

It is an amenable number.

87652 is a deficient number, since it is larger than the sum of its proper divisors (74888).

87652 is a wasteful number, since it uses less digits than its factorization.

87652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1308 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 87652 is about 296.0608045655. The cubic root of 87652 is about 44.4208921508.

It can be divided in two parts, 8 and 7652, that multiplied together give a palindrome (61216).

The spelling of 87652 in words is "eighty-seven thousand, six hundred fifty-two".