87633 has 24 divisors (see below), whose sum is σ = 157248. Its totient is φ = 45792.

The previous prime is 87631. The next prime is 87641. The reversal of 87633 is 33678.

It can be divided in two parts, 876 and 33, that added together give a palindrome (909).

It is a happy number.

87633 is nontrivially palindromic in base 16.

It is not a de Polignac number, because 87633 - 2^{1} = 87631 is a prime.

Together with 69615 it forms an amicable pair .

It is a Curzon number.

87633 is a lucky number.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 87597 and 87606.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766 + ... + 872.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2^{87633} is an apocalyptic number.

It is an amenable number.

87633 is a deficient number, since it is larger than the sum of its proper divisors (69615).

87633 is a wasteful number, since it uses less digits than its factorization.

87633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 130 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 87633 is about 296.0287148234. The cubic root of 87633 is about 44.4176822680.

The spelling of 87633 in words is "eighty-seven thousand, six hundred thirty-three".

Divisors: 1 3 7 9 13 21 39 63 91 107 117 273 321 749 819 963 1391 2247 4173 6741 9737 12519 29211 87633

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