820532319 has 16 divisors (see below), whose sum is σ = 1166863968. Its totient is φ = 511081472.

The previous prime is 820532267. The next prime is 820532327. The reversal of 820532319 is 913235028.

820532319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 820532319 - 2⁹ = 820531807 is a prime.

It is a super-3 number, since 3×820532319³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 820532319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820532329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51732 + ... + 65705.

It is an arithmetic number, because the mean of its divisors is an integer number (72928998).

Almost surely, 2^820532319 is an apocalyptic number.

820532319 is a deficient number, since it is larger than the sum of its proper divisors (346331649).

820532319 is a wasteful number, since it uses less digits than its factorization.

820532319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117594.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 820532319 is about 28644.9353114997. The cubic root of 820532319 is about 936.1926572616.

The spelling of 820532319 in words is "eight hundred twenty million, five hundred thirty-two thousand, three hundred nineteen".