53874 has 24 divisors (see below), whose sum is σ = 121212. Its totient is φ = 17280.

The previous prime is 53861. The next prime is 53881. The reversal of 53874 is 47835.

53874 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 can be written as a sum of positive squares in 2 ways, for example, as 50625 + 3249 = 225^2 + 57^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 702 + ... + 774.

2⁵³⁸⁷⁴ is an apocalyptic number.

53874 is an abundant number, since it is smaller than the sum of its proper divisors (67338).

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 (60606).

53874 is a wasteful number, since it uses less digits than its factorization.

53874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 119 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 53874 is about 232.1077336066. The cubic root of 53874 is about 37.7682104441.

The spelling of 53874 in words is "fifty-three thousand, eight hundred seventy-four".