62652 has 24 divisors (see below), whose sum is σ = 153216. Its totient is φ = 19888.

The previous prime is 62639. The next prime is 62653. The reversal of 62652 is 25626.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62653) by changing a digit.

62652 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163 + ... + 389.

It is an arithmetic number, because the mean of its divisors is an integer number (6384).

2⁶²⁶⁵² 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 62652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76608).

62652 is an abundant number, since it is smaller than the sum of its proper divisors (90564).

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

62652 is a wasteful number, since it uses less digits than its factorization.

62652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 255 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 62652 is about 250.3038153924. The cubic root of 62652 is about 39.7171715821.

The spelling of 62652 in words is "sixty-two thousand, six hundred fifty-two".