254261 has 6 divisors (see below), whose sum is σ = 295830. Its totient is φ = 217896.

The previous prime is 254257. The next prime is 254279. The reversal of 254261 is 162452.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 240100 + 14161 = 490^2 + 119^2 .

It is not a de Polignac number, because 254261 - 2² = 254257 is a prime.

It is a super-2 number, since 2×254261² = 129297312242, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254281) 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, 2546 + ... + 2643.

It is an arithmetic number, because the mean of its divisors is an integer number (49305).

2²⁵⁴²⁶¹ is an apocalyptic number.

It is an amenable number.

254261 is a deficient number, since it is larger than the sum of its proper divisors (41569).

254261 is an equidigital number, since it uses as much as digits as its factorization.

254261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5203 (or 5196 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 254261 is about 504.2429969767. The cubic root of 254261 is about 63.3519397471.

Subtracting from 254261 its reverse (162452), we obtain a square (91809 = 303²).

It can be divided in two parts, 254 and 261, that added together give a palindrome (515).

The spelling of 254261 in words is "two hundred fifty-four thousand, two hundred sixty-one".