820577005 has 16 divisors (see below), whose sum is σ = 1004690304. Its totient is φ = 643165120.

The previous prime is 820576987. The next prime is 820577039. The reversal of 820577005 is 500775028.

It is not a de Polignac number, because 820577005 - 2¹¹ = 820574957 is a prime.

It is a super-2 number, since 2×820577005² = 1346693242269540050, which contains 22 as substring.

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, 233310 + ... + 236800.

It is an arithmetic number, because the mean of its divisors is an integer number (62793144).

Almost surely, 2^820577005 is an apocalyptic number.

It is an amenable number.

820577005 is a deficient number, since it is larger than the sum of its proper divisors (184113299).

820577005 is a wasteful number, since it uses less digits than its factorization.

820577005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4436.

The product of its (nonzero) digits is 19600, while the sum is 34.

The square root of 820577005 is about 28645.7152991508. The cubic root of 820577005 is about 936.2096518982.

The spelling of 820577005 in words is "eight hundred twenty million, five hundred seventy-seven thousand, five".