83634 has 16 divisors (see below), whose sum is σ = 171072. Its totient is φ = 27248.

The previous prime is 83621. The next prime is 83639. The reversal of 83634 is 43638.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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

It is a Curzon number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (83639) 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, 187 + ... + 449.

It is an arithmetic number, because the mean of its divisors is an integer number (10692).

2⁸³⁶³⁴ is an apocalyptic number.

83634 is an abundant number, since it is smaller than the sum of its proper divisors (87438).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85536).

83634 is a wasteful number, since it uses less digits than its factorization.

83634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321.

The product of its digits is 1728, while the sum is 24.

The square root of 83634 is about 289.1954356486. The cubic root of 83634 is about 43.7314914908.

It can be divided in two parts, 83 and 634, that added together give a palindrome (717).

The spelling of 83634 in words is "eighty-three thousand, six hundred thirty-four".