821082577 has 16 divisors (see below), whose sum is σ = 964871680. Its totient is φ = 683961408.

The previous prime is 821082547. The next prime is 821082599. The reversal of 821082577 is 775280128.

821082577 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-821082577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (821082547) 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, 342499 + ... + 344887.

It is an arithmetic number, because the mean of its divisors is an integer number (60304480).

Almost surely, 2^821082577 is an apocalyptic number.

It is an amenable number.

821082577 is a deficient number, since it is larger than the sum of its proper divisors (143789103).

821082577 is a wasteful number, since it uses less digits than its factorization.

821082577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760.

The product of its (nonzero) digits is 62720, while the sum is 40.

The square root of 821082577 is about 28654.5385061424. The cubic root of 821082577 is about 936.4018841970.

The spelling of 821082577 in words is "eight hundred twenty-one million, eighty-two thousand, five hundred seventy-seven".