53262 has 24 divisors (see below), whose sum is σ = 126360. Its totient is φ = 16080.

The previous prime is 53239. The next prime is 53267. The reversal of 53262 is 26235.

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 5 + 3⁸ + 2³ + 6⁶ + 2⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53267) 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, 64 + ... + 332.

It is an arithmetic number, because the mean of its divisors is an integer number (5265).

2⁵³²⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63180).

53262 is an abundant number, since it is smaller than the sum of its proper divisors (73098).

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

53262 is a wasteful number, since it uses less digits than its factorization.

53262 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 285 counting only the distinct ones).

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

The square root of 53262 is about 230.7856148030. The cubic root of 53262 is about 37.6246518586.

Adding to 53262 its reverse (26235), we get a palindrome (79497).

The spelling of 53262 in words is "fifty-three thousand, two hundred sixty-two".