820263 has 8 divisors (see below), whose sum is σ = 1109376. Its totient is φ = 539000.

The previous prime is 820247. The next prime is 820271. The reversal of 820263 is 362028.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 820263 - 2⁴ = 820247 is a prime.

820263 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 820263.

It is not an unprimeable number, because it can be changed into a prime (820213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1713 + ... + 2138.

It is an arithmetic number, because the mean of its divisors is an integer number (138672).

2⁸²⁰²⁶³ is an apocalyptic number.

820263 is a deficient number, since it is larger than the sum of its proper divisors (289113).

820263 is a wasteful number, since it uses less digits than its factorization.

820263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3925.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 820263 is about 905.6837196284. The cubic root of 820263 is about 93.6090218859.

The spelling of 820263 in words is "eight hundred twenty thousand, two hundred sixty-three".