11634 has 16 divisors (see below), whose sum is σ = 26688. Its totient is φ = 3312.

The previous prime is 11633. The next prime is 11657. The reversal of 11634 is 43611.

11634 is nontrivially palindromic in base 8.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11633) 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, 97 + ... + 180.

It is an arithmetic number, because the mean of its divisors is an integer number (1668).

2¹¹⁶³⁴ is an apocalyptic number.

11634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11634 is an abundant number, since it is smaller than the sum of its proper divisors (15054).

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 (13344).

11634 is a wasteful number, since it uses less digits than its factorization.

11634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289.

The product of its digits is 72, while the sum is 15.

The square root of 11634 is about 107.8610216900. The cubic root of 11634 is about 22.6591189787.

The spelling of 11634 in words is "eleven thousand, six hundred thirty-four".