254113 has 6 divisors (see below), whose sum is σ = 262034. Its totient is φ = 246384.

The previous prime is 254083. The next prime is 254119. The reversal of 254113 is 311452.

It can be written as a sum of positive squares in only one way, i.e., 222784 + 31329 = 472^2 + 177^2 .

It is not a de Polignac number, because 254113 - 2⁹ = 253601 is a prime.

It is a Duffinian number.

254113 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (254119) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3445 + ... + 3517.

2²⁵⁴¹¹³ is an apocalyptic number.

It is an amenable number.

254113 is a deficient number, since it is larger than the sum of its proper divisors (7921).

254113 is an frugal number, since it uses more digits than its factorization.

254113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 132 counting only the distinct ones).

The product of its digits is 120, while the sum is 16.

The square root of 254113 is about 504.0962209737. The cubic root of 254113 is about 63.3396454158.

Adding to 254113 its reverse (311452), we get a palindrome (565565).

It can be divided in two parts, 2541 and 13, that multiplied together give a palindrome (33033).

The spelling of 254113 in words is "two hundred fifty-four thousand, one hundred thirteen".