264829 has 2 divisors, whose sum is σ = 264830. Its totient is φ = 264828.

The previous prime is 264827. The next prime is 264839. The reversal of 264829 is 928462.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 225625 + 39204 = 475^2 + 198^2 .

It is a cyclic number.

It is not a de Polignac number, because 264829 - 2¹ = 264827 is a prime.

Together with 264827, it forms a pair of twin primes.

It is a d-powerful number, because it can be written as 2⁹ + 6² + 8 + 4⁹ + 2¹¹ + 9² .

It is a self number, because there is not a number n which added to its sum of digits gives 264829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (264827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132414 + 132415.

It is an arithmetic number, because the mean of its divisors is an integer number (132415).

2²⁶⁴⁸²⁹ is an apocalyptic number.

It is an amenable number.

264829 is a deficient number, since it is larger than the sum of its proper divisors (1).

264829 is an equidigital number, since it uses as much as digits as its factorization.

264829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6912, while the sum is 31.

The square root of 264829 is about 514.6153903645. The cubic root of 264829 is about 64.2177640629.

The spelling of 264829 in words is "two hundred sixty-four thousand, eight hundred twenty-nine".