65052 has 36 divisors (see below), whose sum is σ = 178360. Its totient is φ = 19872.

The previous prime is 65033. The next prime is 65053. The reversal of 65052 is 25056.

It is a tau number, because it is divible by the number of its divisors (36).

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

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399 + ... + 537.

2⁶⁵⁰⁵² 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 65052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89180).

65052 is an abundant number, since it is smaller than the sum of its proper divisors (113308).

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

65052 is a wasteful number, since it uses less digits than its factorization.

65052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 65052 is about 255.0529356820. The cubic root of 65052 is about 40.2179766633.

The spelling of 65052 in words is "sixty-five thousand, fifty-two".