54252 has 36 divisors (see below), whose sum is σ = 150696. Its totient is φ = 16320.

The previous prime is 54251. The next prime is 54269. The reversal of 54252 is 25245.

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

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (54251) 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, 328 + ... + 464.

It is an arithmetic number, because the mean of its divisors is an integer number (4186).

2⁵⁴²⁵² 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 54252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75348).

54252 is an abundant number, since it is smaller than the sum of its proper divisors (96444).

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

54252 is a wasteful number, since it uses less digits than its factorization.

54252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 153 counting only the distinct ones).

The product of its digits is 400, while the sum is 18.

The square root of 54252 is about 232.9205873254. The cubic root of 54252 is about 37.8563365880.

Adding to 54252 its reverse (25245), we get a palindrome (79497).

The spelling of 54252 in words is "fifty-four thousand, two hundred fifty-two".