52758 has 16 divisors (see below), whose sum is σ = 117360. Its totient is φ = 17568.

The previous prime is 52757. The next prime is 52769. The reversal of 52758 is 85725.

It is a happy number.

52758 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 435 + ... + 542.

It is an arithmetic number, because the mean of its divisors is an integer number (7335).

2⁵²⁷⁵⁸ is an apocalyptic number.

52758 is an abundant number, since it is smaller than the sum of its proper divisors (64602).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58680).

52758 is a wasteful number, since it uses less digits than its factorization.

52758 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 982 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 52758 is about 229.6910969106. The cubic root of 52758 is about 37.5055991639.

It can be divided in two parts, 527 and 58, that added together give a palindrome (585).

The spelling of 52758 in words is "fifty-two thousand, seven hundred fifty-eight".