52938 has 24 divisors (see below), whose sum is σ = 122148. Its totient is φ = 16512.

The previous prime is 52937. The next prime is 52951. The reversal of 52938 is 83925.

It can be written as a sum of positive squares in 2 ways, for example, as 45369 + 7569 = 213^2 + 87^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (52937) 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, 220 + ... + 392.

2⁵²⁹³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61074).

52938 is an abundant number, since it is smaller than the sum of its proper divisors (69210).

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

52938 is a wasteful number, since it uses less digits than its factorization.

52938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 195 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 52938 is about 230.0825938658. The cubic root of 52938 is about 37.5482046750.

It can be divided in two parts, 529 and 38, that multiplied together give a palindrome (20102).

The spelling of 52938 in words is "fifty-two thousand, nine hundred thirty-eight".