252763 has 4 divisors (see below), whose sum is σ = 288880. Its totient is φ = 216648.

The previous prime is 252761. The next prime is 252767. The reversal of 252763 is 367252.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 252763 - 2¹ = 252761 is a prime.

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

It is a Duffinian number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (252761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18048 + ... + 18061.

It is an arithmetic number, because the mean of its divisors is an integer number (72220).

2²⁵²⁷⁶³ is an apocalyptic number.

252763 is a deficient number, since it is larger than the sum of its proper divisors (36117).

252763 is an equidigital number, since it uses as much as digits as its factorization.

252763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36116.

The product of its digits is 2520, while the sum is 25.

The square root of 252763 is about 502.7554077283. The cubic root of 252763 is about 63.2272801899.

It can be divided in two parts, 2527 and 63, that multiplied together give a square (159201 = 399²).

The spelling of 252763 in words is "two hundred fifty-two thousand, seven hundred sixty-three".