54825 has 24 divisors (see below), whose sum is σ = 98208. Its totient is φ = 26880.

The previous prime is 54799. The next prime is 54829. The reversal of 54825 is 52845.

54825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54825 - 2¹³ = 46633 is a prime.

It is an Ulam number.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 54795 and 54804.

It is not an unprimeable number, because it can be changed into a prime (54829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1254 + ... + 1296.

It is an arithmetic number, because the mean of its divisors is an integer number (4092).

2⁵⁴⁸²⁵ is an apocalyptic number.

It is an amenable number.

54825 is a deficient number, since it is larger than the sum of its proper divisors (43383).

54825 is a wasteful number, since it uses less digits than its factorization.

54825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 68 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 54825 is about 234.1473894794. The cubic root of 54825 is about 37.9891474087.

The spelling of 54825 in words is "fifty-four thousand, eight hundred twenty-five".