254993 has 2 divisors, whose sum is σ = 254994. Its totient is φ = 254992.

The previous prime is 254987. The next prime is 255007. The reversal of 254993 is 399452.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200704 + 54289 = 448^2 + 233^2 .

It is a cyclic number.

It is not a de Polignac number, because 254993 - 2⁴ = 254977 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 254993.

It is not a weakly prime, because it can be changed into another prime (254963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 127496 + 127497.

It is an arithmetic number, because the mean of its divisors is an integer number (127497).

2²⁵⁴⁹⁹³ is an apocalyptic number.

It is an amenable number.

254993 is a deficient number, since it is larger than the sum of its proper divisors (1).

254993 is an equidigital number, since it uses as much as digits as its factorization.

254993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9720, while the sum is 32.

The square root of 254993 is about 504.9683158377. The cubic root of 254993 is about 63.4126767965.

Adding to 254993 its sum of digits (32), we get a square (255025 = 505²).

The spelling of 254993 in words is "two hundred fifty-four thousand, nine hundred ninety-three".