254761 has 4 divisors (see below), whose sum is σ = 274372. Its totient is φ = 235152.

The previous prime is 254753. The next prime is 254773. The reversal of 254761 is 167452.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 65536 + 189225 = 256^2 + 435^2 .

It is a cyclic number.

It is not a de Polignac number, because 254761 - 2³ = 254753 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254731) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9786 + ... + 9811.

It is an arithmetic number, because the mean of its divisors is an integer number (68593).

2²⁵⁴⁷⁶¹ is an apocalyptic number.

It is an amenable number.

254761 is a deficient number, since it is larger than the sum of its proper divisors (19611).

254761 is a wasteful number, since it uses less digits than its factorization.

254761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19610.

The product of its digits is 1680, while the sum is 25.

The square root of 254761 is about 504.7385461801. The cubic root of 254761 is about 63.3934393992.

It can be divided in two parts, 25 and 4761, that multiplied together give a square (119025 = 345²).

The spelling of 254761 in words is "two hundred fifty-four thousand, seven hundred sixty-one".