254753 has 2 divisors, whose sum is σ = 254754. Its totient is φ = 254752.

The previous prime is 254747. The next prime is 254773. The reversal of 254753 is 357452.

254753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 247009 + 7744 = 497^2 + 88^2 .

It is a cyclic number.

It is not a de Polignac number, because 254753 - 2¹⁴ = 238369 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 254753.

It is not a weakly prime, because it can be changed into another prime (254713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 127376 + 127377.

It is an arithmetic number, because the mean of its divisors is an integer number (127377).

2²⁵⁴⁷⁵³ is an apocalyptic number.

It is an amenable number.

254753 is a deficient number, since it is larger than the sum of its proper divisors (1).

254753 is an equidigital number, since it uses as much as digits as its factorization.

254753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4200, while the sum is 26.

The square root of 254753 is about 504.7306212228. The cubic root of 254753 is about 63.3927758324.

The spelling of 254753 in words is "two hundred fifty-four thousand, seven hundred fifty-three".