52968 has 16 divisors (see below), whose sum is σ = 132480. Its totient is φ = 17648.

The previous prime is 52967. The next prime is 52973. The reversal of 52968 is 86925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1080 + ... + 1127.

It is an arithmetic number, because the mean of its divisors is an integer number (8280).

2⁵²⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

52968 is an abundant number, since it is smaller than the sum of its proper divisors (79512).

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 (66240).

52968 is a wasteful number, since it uses less digits than its factorization.

52968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2212 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 52968 is about 230.1477786119. The cubic root of 52968 is about 37.5552961998. Note that the first 3 decimals are identical.

The spelling of 52968 in words is "fifty-two thousand, nine hundred sixty-eight".