252823 has 2 divisors, whose sum is σ = 252824. Its totient is φ = 252822.

The previous prime is 252817. The next prime is 252827. The reversal of 252823 is 328252.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-252823 is a prime.

252823 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 252794 and 252803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252827) 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 as a sum of consecutive naturals, namely, 126411 + 126412.

It is an arithmetic number, because the mean of its divisors is an integer number (126412).

2²⁵²⁸²³ is an apocalyptic number.

252823 is a deficient number, since it is larger than the sum of its proper divisors (1).

252823 is an equidigital number, since it uses as much as digits as its factorization.

252823 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 960, while the sum is 22.

The square root of 252823 is about 502.8150753508. The cubic root of 252823 is about 63.2322826846.

It can be divided in two parts, 2 and 52823, that added together give a palindrome (52825).

The spelling of 252823 in words is "two hundred fifty-two thousand, eight hundred twenty-three".