20652 has 12 divisors (see below), whose sum is σ = 48216. Its totient is φ = 6880.

The previous prime is 20641. The next prime is 20663. The reversal of 20652 is 25602.

It is an interprime number because it is at equal distance from previous prime (20641) and next prime (20663).

It is a tau number, because it is divible by the number of its divisors (12).

It is a nialpdrome in base 12 and base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 849 + ... + 872.

It is an arithmetic number, because the mean of its divisors is an integer number (4018).

2²⁰⁶⁵² is an apocalyptic number.

It is an amenable number.

20652 is an abundant number, since it is smaller than the sum of its proper divisors (27564).

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 (24108).

20652 is a wasteful number, since it uses less digits than its factorization.

20652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 20652 is about 143.7080373535. The cubic root of 20652 is about 27.4359943947.

Subtracting 20652 from its reverse (25602), we obtain a triangular number (4950 = T₉₉).

The spelling of 20652 in words is "twenty thousand, six hundred fifty-two".