252761 has 2 divisors, whose sum is σ = 252762. Its totient is φ = 252760.

The previous prime is 252737. The next prime is 252767. The reversal of 252761 is 167252.

252761 = 355² + 356².

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126736 + 126025 = 356^2 + 355^2 .

It is a cyclic number.

It is not a de Polignac number, because 252761 - 2¹⁰ = 251737 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

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

It is a Curzon number.

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252761.

It is not a weakly prime, because it can be changed into another prime (252767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126380 + 126381.

It is an arithmetic number, because the mean of its divisors is an integer number (126381).

2²⁵²⁷⁶¹ is an apocalyptic number.

252761 is the 356-th centered square number.

It is an amenable number.

252761 is a deficient number, since it is larger than the sum of its proper divisors (1).

252761 is an equidigital number, since it uses as much as digits as its factorization.

252761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 840, while the sum is 23.

The square root of 252761 is about 502.7534186855. The cubic root of 252761 is about 63.2271134265.

The spelling of 252761 in words is "two hundred fifty-two thousand, seven hundred sixty-one".