23652 has 30 divisors (see below), whose sum is σ = 62678. Its totient is φ = 7776.

The previous prime is 23633. The next prime is 23663. The reversal of 23652 is 25632.

Added to its reverse (25632) it gives a square (49284 = 222²).

It can be written as a sum of positive squares in only one way, i.e., 20736 + 2916 = 144^2 + 54^2 .

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

It is a d-powerful number, because it can be written as 2¹⁰ + 3⁹ + 6⁴ + 5⁴ + 2¹⁰ .

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

It is an unprimeable 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 9 ways as a sum of consecutive naturals, for example, 288 + ... + 360.

2²³⁶⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31339).

23652 is an abundant number, since it is smaller than the sum of its proper divisors (39026).

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

23652 is a wasteful number, since it uses less digits than its factorization.

23652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 78 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 23652 is about 153.7920674157. The cubic root of 23652 is about 28.7048946154.

Adding to 23652 its reverse (25632), we get a square (49284 = 222²).

The spelling of 23652 in words is "twenty-three thousand, six hundred fifty-two".