820259 has 6 divisors (see below), whose sum is σ = 901740. Its totient is φ = 745580.

The previous prime is 820247. The next prime is 820271. The reversal of 820259 is 952028.

820259 = T₂₆₂ + T₂₆₃ + ... + T₂₈₃.

It is an interprime number because it is at equal distance from previous prime (820247) and next prime (820271).

It is not a de Polignac number, because 820259 - 2⁴ = 820243 is a prime.

It is a Duffinian number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (820279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3269 + ... + 3510.

It is an arithmetic number, because the mean of its divisors is an integer number (150290).

2⁸²⁰²⁵⁹ is an apocalyptic number.

820259 is a deficient number, since it is larger than the sum of its proper divisors (81481).

820259 is a wasteful number, since it uses less digits than its factorization.

820259 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6801 (or 6790 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 820259 is about 905.6815113493. The cubic root of 820259 is about 93.6088697246.

Subtracting 820259 from its reverse (952028), we obtain a square (131769 = 363²).

The spelling of 820259 in words is "eight hundred twenty thousand, two hundred fifty-nine".