87635 has 8 divisors (see below), whose sum is σ = 111456. Its totient is φ = 65920.

The previous prime is 87631. The next prime is 87641. The reversal of 87635 is 53678.

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

It is not a de Polignac number, because 87635 - 2^{2} = 87631 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as **8**^{3} + **7**^{4} + **6**^{2} + **3**^{8} + **5**^{7} .

It is a Duffinian number.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 87598 and 87607.

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 7 ways as a sum of consecutive naturals, for example, 431 + ... + 600.

It is an arithmetic number, because the mean of its divisors is an integer number (13932).

2^{87635} is an apocalyptic number.

87635 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

87635 is a deficient number, since it is larger than the sum of its proper divisors (23821).

87635 is a wasteful number, since it uses less digits than its factorization.

87635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053.

The product of its digits is 5040, while the sum is 29.

The square root of 87635 is about 296.0320928548. The cubic root of 87635 is about 44.4180201723.

The spelling of 87635 in words is "eighty-seven thousand, six hundred thirty-five".

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