254001 has 16 divisors (see below), whose sum is σ = 380160. Its totient is φ = 149520.

The previous prime is 253999. The next prime is 254003. The reversal of 254001 is 100452.

254001 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253999) and next prime (254003).

It is not a de Polignac number, because 254001 - 2¹ = 253999 is a prime.

254001 is strictly pandigital in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 254001.

It is not an unprimeable number, because it can be changed into a prime (254003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1330 + ... + 1508.

It is an arithmetic number, because the mean of its divisors is an integer number (23760).

2²⁵⁴⁰⁰¹ is an apocalyptic number.

It is an amenable number.

254001 is a deficient number, since it is larger than the sum of its proper divisors (126159).

254001 is a wasteful number, since it uses less digits than its factorization.

254001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236.

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 254001 is about 503.9851188279. The cubic root of 254001 is about 63.3303384241.

Adding to 254001 its reverse (100452), we get a palindrome (354453).

The spelling of 254001 in words is "two hundred fifty-four thousand, one".