820329067 has 8 divisors (see below), whose sum is σ = 872380800. Its totient is φ = 768699264.

The previous prime is 820329053. The next prime is 820329073. The reversal of 820329067 is 760923028.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-820329067 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820329077) 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, 101467 + ... + 109252.

It is an arithmetic number, because the mean of its divisors is an integer number (109047600).

Almost surely, 2^820329067 is an apocalyptic number.

820329067 is a deficient number, since it is larger than the sum of its proper divisors (52051733).

820329067 is a wasteful number, since it uses less digits than its factorization.

820329067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210965.

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 820329067 is about 28641.3873092768. The cubic root of 820329067 is about 936.1153502341.

The spelling of 820329067 in words is "eight hundred twenty million, three hundred twenty-nine thousand, sixty-seven".