820319 has 2 divisors, whose sum is σ = 820320. Its totient is φ = 820318.

The previous prime is 820279. The next prime is 820321. The reversal of 820319 is 913028.

820319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 820319 - 2¹² = 816223 is a prime.

It is a super-2 number, since 2×820319² = 1345846523522, which contains 22 as substring.

Together with 820321, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 820294 and 820303.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410159 + 410160.

It is an arithmetic number, because the mean of its divisors is an integer number (410160).

2⁸²⁰³¹⁹ is an apocalyptic number.

820319 is a deficient number, since it is larger than the sum of its proper divisors (1).

820319 is an equidigital number, since it uses as much as digits as its factorization.

820319 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 820319 is about 905.7146349706. The cubic root of 820319 is about 93.6111520912.

The spelling of 820319 in words is "eight hundred twenty thousand, three hundred nineteen".