252767 has 2 divisors, whose sum is σ = 252768. Its totient is φ = 252766.

The previous prime is 252761. The next prime is 252779. The reversal of 252767 is 767252.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-252767 is a prime.

It is a d-powerful number, because it can be written as 2¹⁰ + 5² + 7⁶ + 2¹⁴ + 6² + 7⁶ .

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

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126383 + 126384.

It is an arithmetic number, because the mean of its divisors is an integer number (126384).

2²⁵²⁷⁶⁷ is an apocalyptic number.

252767 is a deficient number, since it is larger than the sum of its proper divisors (1).

252767 is an equidigital number, since it uses as much as digits as its factorization.

252767 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5880, while the sum is 29.

The square root of 252767 is about 502.7593857901. The cubic root of 252767 is about 63.2276137142.

The spelling of 252767 in words is "two hundred fifty-two thousand, seven hundred sixty-seven".