254763 has 6 divisors (see below), whose sum is σ = 368004. Its totient is φ = 169836.

The previous prime is 254753. The next prime is 254773. The reversal of 254763 is 367452.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (254753) and next prime (254773).

It is not a de Polignac number, because 254763 - 2⁴ = 254747 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (254713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14145 + ... + 14162.

It is an arithmetic number, because the mean of its divisors is an integer number (61334).

2²⁵⁴⁷⁶³ is an apocalyptic number.

254763 is a deficient number, since it is larger than the sum of its proper divisors (113241).

254763 is a wasteful number, since it uses less digits than its factorization.

254763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28313 (or 28310 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 254763 is about 504.7405274000. The cubic root of 254763 is about 63.3936052887.

It can be divided in two parts, 2547 and 63, that multiplied together give a triangular number (160461 = T₅₆₆).

The spelling of 254763 in words is "two hundred fifty-four thousand, seven hundred sixty-three".