820936337 has 8 divisors (see below), whose sum is σ = 885864000. Its totient is φ = 756262800.

The previous prime is 820936289. The next prime is 820936339. The reversal of 820936337 is 733639028.

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-820936337 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 820936294 and 820936303.

It is not an unprimeable number, because it can be changed into a prime (820936339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56789 + ... + 69762.

It is an arithmetic number, because the mean of its divisors is an integer number (110733000).

Almost surely, 2^820936337 is an apocalyptic number.

It is an amenable number.

820936337 is a deficient number, since it is larger than the sum of its proper divisors (64927663).

820936337 is a wasteful number, since it uses less digits than its factorization.

820936337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127063.

The product of its (nonzero) digits is 163296, while the sum is 41.

The square root of 820936337 is about 28651.9866152419. The cubic root of 820936337 is about 936.3462878636.

The spelling of 820936337 in words is "eight hundred twenty million, nine hundred thirty-six thousand, three hundred thirty-seven".