23634 has 24 divisors (see below), whose sum is σ = 55692. Its totient is φ = 7200.

The previous prime is 23633. The next prime is 23663. The reversal of 23634 is 43632.

It can be written as a sum of positive squares in 2 ways, for example, as 23409 + 225 = 153^2 + 15^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹³ + 3⁸ + 6⁴ + 3⁸ + 4⁵ .

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

It is a Curzon number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (23633) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 184 + ... + 284.

2²³⁶³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27846).

23634 is an abundant number, since it is smaller than the sum of its proper divisors (32058).

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

23634 is a wasteful number, since it uses less digits than its factorization.

23634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 119 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 23634 is about 153.7335357038. The cubic root of 23634 is about 28.6976109574.

The spelling of 23634 in words is "twenty-three thousand, six hundred thirty-four".