254541 has 32 divisors (see below), whose sum is σ = 442368. Its totient is φ = 126720.

The previous prime is 254537. The next prime is 254557. The reversal of 254541 is 145452.

254541 is a nontrivial binomial coefficient, being equal to C(714, 2).

It is not a de Polignac number, because 254541 - 2² = 254537 is a prime.

It is a super-2 number, since 2×254541² = 129582241362, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an alternating number because its digits alternate between even and odd.

254541 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8196 + ... + 8226.

It is an arithmetic number, because the mean of its divisors is an integer number (13824).

2²⁵⁴⁵⁴¹ is an apocalyptic number.

254541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

254541 is the 713-rd triangular number and also the 357-th hexagonal number.

It is an amenable number.

254541 is a deficient number, since it is larger than the sum of its proper divisors (187827).

254541 is a wasteful number, since it uses less digits than its factorization.

254541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81.

The product of its digits is 800, while the sum is 21.

The square root of 254541 is about 504.5205644966. The cubic root of 254541 is about 63.3751862480.

254541 divided by its sum of digits (21) gives a palindrome (12121).

Adding to 254541 its reverse (145452), we get a palindrome (399993).

The spelling of 254541 in words is "two hundred fifty-four thousand, five hundred forty-one".