820389213 has 108 divisors (see below), whose sum is σ = 1509603732. Its totient is φ = 427714560.

The previous prime is 820389187. The next prime is 820389287. The reversal of 820389213 is 312983028.

It is a happy number.

820389213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 7112889 + 813276324 = 2667^2 + 28518^2 .

It is not a de Polignac number, because 820389213 - 2¹⁷ = 820258141 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820389293) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5225331 + ... + 5225487.

Almost surely, 2^820389213 is an apocalyptic number.

It is an amenable number.

820389213 is a deficient number, since it is larger than the sum of its proper divisors (689214519).

820389213 is a wasteful number, since it uses less digits than its factorization.

820389213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 820389213 is about 28642.4372740869. The cubic root of 820389213 is about 936.1382281336.

The spelling of 820389213 in words is "eight hundred twenty million, three hundred eighty-nine thousand, two hundred thirteen".