820914565 has 16 divisors (see below), whose sum is σ = 1030818816. Its totient is φ = 626832000.

The previous prime is 820914559. The next prime is 820914599. The reversal of 820914565 is 565419028.

It is not a de Polignac number, because 820914565 - 2⁹ = 820914053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24961 + ... + 47590.

It is an arithmetic number, because the mean of its divisors is an integer number (64426176).

Almost surely, 2^820914565 is an apocalyptic number.

It is an amenable number.

820914565 is a deficient number, since it is larger than the sum of its proper divisors (209904251).

820914565 is a wasteful number, since it uses less digits than its factorization.

820914565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72660.

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 820914565 is about 28651.6066739721. The cubic root of 820914565 is about 936.3380101971.

The spelling of 820914565 in words is "eight hundred twenty million, nine hundred fourteen thousand, five hundred sixty-five".