18634 has 16 divisors (see below), whose sum is σ = 35136. Its totient is φ = 7260.

The previous prime is 18617. The next prime is 18637. The reversal of 18634 is 43681.

18634 = 11² + 12² + ... + 38².

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18637) 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, 1689 + ... + 1699.

It is an arithmetic number, because the mean of its divisors is an integer number (2196).

2¹⁸⁶³⁴ is an apocalyptic number.

18634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

18634 is a deficient number, since it is larger than the sum of its proper divisors (16502).

18634 is an equidigital number, since it uses as much as digits as its factorization.

18634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 20 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 18634 is about 136.5064101059. The cubic root of 18634 is about 26.5115649059.

The spelling of 18634 in words is "eighteen thousand, six hundred thirty-four".