252829 has 2 divisors, whose sum is σ = 252830. Its totient is φ = 252828.

The previous prime is 252827. The next prime is 252869. The reversal of 252829 is 928252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 164025 + 88804 = 405^2 + 298^2 .

It is a cyclic number.

It is not a de Polignac number, because 252829 - 2¹ = 252827 is a prime.

Together with 252827, it forms a pair of twin primes.

252829 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 252797 and 252806.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252823) 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, 126414 + 126415.

It is an arithmetic number, because the mean of its divisors is an integer number (126415).

2²⁵²⁸²⁹ is an apocalyptic number.

It is an amenable number.

252829 is a deficient number, since it is larger than the sum of its proper divisors (1).

252829 is an equidigital number, since it uses as much as digits as its factorization.

252829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2880, while the sum is 28.

The square root of 252829 is about 502.8210417236. The cubic root of 252829 is about 63.2327828906.

It can be divided in two parts, 252 and 829, that added together give a triangular number (1081 = T₄₆).

The spelling of 252829 in words is "two hundred fifty-two thousand, eight hundred twenty-nine".