53790 has 32 divisors (see below), whose sum is σ = 141696. Its totient is φ = 12960.

The previous prime is 53783. The next prime is 53791. The reversal of 53790 is 9735.

53790 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 Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 53790.

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 53790.

It is not an unprimeable number, because it can be changed into a prime (53791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249 + ... + 411.

It is an arithmetic number, because the mean of its divisors is an integer number (4428).

2⁵³⁷⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70848).

53790 is an abundant number, since it is smaller than the sum of its proper divisors (87906).

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

53790 is a wasteful number, since it uses less digits than its factorization.

53790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184.

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 53790 is about 231.9267125624. The cubic root of 53790 is about 37.7485709150.

The spelling of 53790 in words is "fifty-three thousand, seven hundred ninety".