52700 has 36 divisors (see below), whose sum is σ = 124992. Its totient is φ = 19200.

The previous prime is 52697. The next prime is 52709. The reversal of 52700 is 725.

52700 is nontrivially palindromic in base 16.

It is a d-powerful number, because it can be written as 5⁵ + 2¹⁵ + 7⁵ + 0 + 0 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 52700.

It is not an unprimeable number, because it can be changed into a prime (52709) 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, 1685 + ... + 1715.

It is an arithmetic number, because the mean of its divisors is an integer number (3472).

2⁵²⁷⁰⁰ is an apocalyptic number.

52700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496).

52700 is an abundant number, since it is smaller than the sum of its proper divisors (72292).

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

52700 is a wasteful number, since it uses less digits than its factorization.

52700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 14.

The square root of 52700 is about 229.5648056650. The cubic root of 52700 is about 37.4918500807.

The spelling of 52700 in words is "fifty-two thousand, seven hundred".