87634 has 8 divisors (see below), whose sum is σ = 134640. Its totient is φ = 42756.

The previous prime is 87631. The next prime is 87641. The reversal of 87634 is 43678.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a d-powerful number, because it can be written as 8 + 7⁴ + 6 + 3⁹ + 4⁸ .

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

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 3 ways as a sum of consecutive naturals, for example, 424 + ... + 595.

It is an arithmetic number, because the mean of its divisors is an integer number (16830).

2⁸⁷⁶³⁴ is an apocalyptic number.

87634 is a deficient number, since it is larger than the sum of its proper divisors (47006).

87634 is a wasteful number, since it uses less digits than its factorization.

87634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064.

The product of its digits is 4032, while the sum is 28.

The square root of 87634 is about 296.0304038439. The cubic root of 87634 is about 44.4178512208.

Subtracting from 87634 its reverse (43678), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 87634 in words is "eighty-seven thousand, six hundred thirty-four".