254124 has 48 divisors (see below), whose sum is σ = 713440. Its totient is φ = 77760.

The previous prime is 254119. The next prime is 254141. The reversal of 254124 is 421452.

254124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 254097 and 254106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1314 + ... + 1494.

2²⁵⁴¹²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356720).

254124 is an abundant number, since it is smaller than the sum of its proper divisors (459316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

254124 is a wasteful number, since it uses less digits than its factorization.

254124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 199 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 254124 is about 504.1071314711. The cubic root of 254124 is about 63.3405593479.

Adding to 254124 its reverse (421452), we get a palindrome (675576).

It can be divided in two parts, 254 and 124, that added together give a triangular number (378 = T₂₇).

The spelling of 254124 in words is "two hundred fifty-four thousand, one hundred twenty-four".