85634 has 8 divisors (see below), whose sum is σ = 131328. Its totient is φ = 41860.

The previous prime is 85627. The next prime is 85639. The reversal of 85634 is 43658.

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

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

Its product of digits (2880) is a multiple of the sum of its prime divisors (960).

It is not an unprimeable number, because it can be changed into a prime (85639) by changing a digit.

85634 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 3 ways as a sum of consecutive naturals, for example, 362 + ... + 549.

It is an arithmetic number, because the mean of its divisors is an integer number (16416).

2⁸⁵⁶³⁴ is an apocalyptic number.

85634 is a deficient number, since it is larger than the sum of its proper divisors (45694).

85634 is a wasteful number, since it uses less digits than its factorization.

85634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960.

The product of its digits is 2880, while the sum is 26.

The square root of 85634 is about 292.6328758017. The cubic root of 85634 is about 44.0773433049.

The spelling of 85634 in words is "eighty-five thousand, six hundred thirty-four".