820968577 has 8 divisors (see below), whose sum is σ = 964494720. Its totient is φ = 688924560.

The previous prime is 820968557. The next prime is 820968583. The reversal of 820968577 is 775869028.

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 820968577 - 2¹⁵ = 820935809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820968517) 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, 2870377 + ... + 2870662.

It is an arithmetic number, because the mean of its divisors is an integer number (120561840).

Almost surely, 2^820968577 is an apocalyptic number.

It is an amenable number.

820968577 is a deficient number, since it is larger than the sum of its proper divisors (143526143).

820968577 is a wasteful number, since it uses less digits than its factorization.

820968577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5741063.

The product of its (nonzero) digits is 1693440, while the sum is 52.

The square root of 820968577 is about 28652.5492234112. The cubic root of 820968577 is about 936.3585451718.

The spelling of 820968577 in words is "eight hundred twenty million, nine hundred sixty-eight thousand, five hundred seventy-seven".