53540 has 12 divisors (see below), whose sum is σ = 112476. Its totient is φ = 21408.

The previous prime is 53527. The next prime is 53549. The reversal of 53540 is 4535.

It can be written as a sum of positive squares in 2 ways, for example, as 7744 + 45796 = 88^2 + 214^2 .

It is not an unprimeable number, because it can be changed into a prime (53549) 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, 1319 + ... + 1358.

It is an arithmetic number, because the mean of its divisors is an integer number (9373).

2⁵³⁵⁴⁰ is an apocalyptic number.

It is an amenable number.

53540 is an abundant number, since it is smaller than the sum of its proper divisors (58936).

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 (56238).

53540 is a wasteful number, since it uses less digits than its factorization.

53540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 53540 is about 231.3871215085. The cubic root of 53540 is about 37.6899986838.

It can be divided in two parts, 535 and 40, that added together give a palindrome (575).

The spelling of 53540 in words is "fifty-three thousand, five hundred forty".