53610 has 16 divisors (see below), whose sum is σ = 128736. Its totient is φ = 14288.

The previous prime is 53609. The next prime is 53611. The reversal of 53610 is 1635.

53610 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53609) and next prime (53611).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 53610.

It is not an unprimeable number, because it can be changed into a prime (53611) 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, 864 + ... + 923.

It is an arithmetic number, because the mean of its divisors is an integer number (8046).

2⁵³⁶¹⁰ is an apocalyptic number.

53610 is an abundant number, since it is smaller than the sum of its proper divisors (75126).

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 (64368).

53610 is a wasteful number, since it uses less digits than its factorization.

53610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 53610 is about 231.5383337592. The cubic root of 53610 is about 37.7064172553.

The spelling of 53610 in words is "fifty-three thousand, six hundred ten".