252971 has 2 divisors, whose sum is σ = 252972. Its totient is φ = 252970.

The previous prime is 252949. The next prime is 252979. The reversal of 252971 is 179252.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 252971 - 2¹⁰ = 251947 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 252971.

It is not a weakly prime, because it can be changed into another prime (252979) 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 as a sum of consecutive naturals, namely, 126485 + 126486.

It is an arithmetic number, because the mean of its divisors is an integer number (126486).

2²⁵²⁹⁷¹ is an apocalyptic number.

252971 is a deficient number, since it is larger than the sum of its proper divisors (1).

252971 is an equidigital number, since it uses as much as digits as its factorization.

252971 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1260, while the sum is 26.

The square root of 252971 is about 502.9622252217. The cubic root of 252971 is about 63.2446187884.

The spelling of 252971 in words is "two hundred fifty-two thousand, nine hundred seventy-one".