820954417 has 16 divisors (see below), whose sum is σ = 865563840. Its totient is φ = 777534912.

The previous prime is 820954349. The next prime is 820954427. The reversal of 820954417 is 714459028.

820954417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-820954417 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 820954417.

It is not an unprimeable number, because it can be changed into a prime (820954427) 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, 549123 + ... + 550615.

It is an arithmetic number, because the mean of its divisors is an integer number (54097740).

Almost surely, 2^820954417 is an apocalyptic number.

It is an amenable number.

820954417 is a deficient number, since it is larger than the sum of its proper divisors (44609423).

820954417 is a wasteful number, since it uses less digits than its factorization.

820954417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872.

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 820954417 is about 28652.3021239132. The cubic root of 820954417 is about 936.3531617285.

It can be divided in two parts, 8209 and 54417, that added together give a palindrome (62626).

The spelling of 820954417 in words is "eight hundred twenty million, nine hundred fifty-four thousand, four hundred seventeen".