87632 has 10 divisors (see below), whose sum is σ = 169818. Its totient is φ = 43808.

The previous prime is 87631. The next prime is 87641. The reversal of 87632 is 23678.

It can be written as a sum of positive squares in only one way, i.e., 87616 + 16 = 296^2 + 4^2 .

It is a d-powerful number, because it can be written as 8⁵ + 7 + 6⁶ + 3² + 2¹³ .

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

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2723 + ... + 2754.

2⁸⁷⁶³² is an apocalyptic number.

It is an amenable number.

87632 is a deficient number, since it is larger than the sum of its proper divisors (82186).

87632 is a wasteful number, since it uses less digits than its factorization.

87632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5485 (or 5479 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 87632 is about 296.0270257933. The cubic root of 87632 is about 44.4175133140.

The spelling of 87632 in words is "eighty-seven thousand, six hundred thirty-two".