254971 has 2 divisors, whose sum is σ = 254972. Its totient is φ = 254970.

The previous prime is 254963. The next prime is 254977. The reversal of 254971 is 179452.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 254971 - 2³ = 254963 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (254977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 127485 + 127486.

It is an arithmetic number, because the mean of its divisors is an integer number (127486).

2²⁵⁴⁹⁷¹ is an apocalyptic number.

254971 is a deficient number, since it is larger than the sum of its proper divisors (1).

254971 is an equidigital number, since it uses as much as digits as its factorization.

254971 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2520, while the sum is 28.

The square root of 254971 is about 504.9465318229. The cubic root of 254971 is about 63.4108530615.

It can be divided in two parts, 254 and 971, that added together give a triangular number (1225 = T₄₉).

The spelling of 254971 in words is "two hundred fifty-four thousand, nine hundred seventy-one".