820338208957 has 8 divisors (see below), whose sum is σ = 830249794080. Its totient is φ = 810427290480.

The previous prime is 820338208867. The next prime is 820338208969. The reversal of 820338208957 is 759802833028.

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

It is a cyclic number.

It is not a de Polignac number, because 820338208957 - 2¹⁹ = 820337684669 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 820338208898 and 820338208907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820338298957) 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, 2581282 + ... + 2881612.

It is an arithmetic number, because the mean of its divisors is an integer number (103781224260).

Almost surely, 2^820338208957 is an apocalyptic number.

It is an amenable number.

820338208957 is a deficient number, since it is larger than the sum of its proper divisors (9911585123).

820338208957 is a wasteful number, since it uses less digits than its factorization.

820338208957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333323.

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 820338208957 in words is "eight hundred twenty billion, three hundred thirty-eight million, two hundred eight thousand, nine hundred fifty-seven".