53845 has 12 divisors (see below), whose sum is σ = 71820. Its totient is φ = 38720.

The previous prime is 53831. The next prime is 53849. The reversal of 53845 is 54835.

It is a happy number.

53845 is digitally balanced in base 2, because in such base 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 14641 + 39204 = 121^2 + 198^2 .

It is not a de Polignac number, because 53845 - 2⁵ = 53813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561 + ... + 649.

It is an arithmetic number, because the mean of its divisors is an integer number (5985).

2⁵³⁸⁴⁵ is an apocalyptic number.

53845 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

53845 is a deficient number, since it is larger than the sum of its proper divisors (17975).

53845 is a wasteful number, since it uses less digits than its factorization.

53845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 105 counting only the distinct ones).

The product of its digits is 2400, while the sum is 25.

The square root of 53845 is about 232.0452542070. The cubic root of 53845 is about 37.7614324393.

Subtracting 53845 from its reverse (54835), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 53 and 845, that added together give a palindrome (898).

The spelling of 53845 in words is "fifty-three thousand, eight hundred forty-five".