56500 has 24 divisors (see below), whose sum is σ = 124488. Its totient is φ = 22400.

The previous prime is 56489. The next prime is 56501. The reversal of 56500 is 565.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14884 + 41616 = 122^2 + 204^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56501) by changing a digit.

56500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 444 + ... + 556.

It is an arithmetic number, because the mean of its divisors is an integer number (5187).

2⁵⁶⁵⁰⁰ is an apocalyptic number.

56500 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 56500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62244).

56500 is an abundant number, since it is smaller than the sum of its proper divisors (67988).

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

56500 is a wasteful number, since it uses less digits than its factorization.

56500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 56500 is about 237.6972864801. The cubic root of 56500 is about 38.3721513940.

Multiplying 56500 by its reverse (565), we get a square (31922500 = 5650²).

56500 divided by its reverse (565) gives a square (100 = 10²).

The spelling of 56500 in words is "fifty-six thousand, five hundred".