820732613 has 32 divisors (see below), whose sum is σ = 914807520. Its totient is φ = 733224960.

The previous prime is 820732609. The next prime is 820732663. The reversal of 820732613 is 316237028.

820732613 = 20257² + 20258².

It is a happy number.

820732613 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 65966884 + 754765729 = 8122^2 + 27473^2 .

It is not a de Polignac number, because 820732613 - 2² = 820732609 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 820732613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820732663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5990681 + ... + 5990817.

It is an arithmetic number, because the mean of its divisors is an integer number (28587735).

Almost surely, 2^820732613 is an apocalyptic number.

820732613 is the 20258-th centered square number.

It is an amenable number.

820732613 is a deficient number, since it is larger than the sum of its proper divisors (94074907).

820732613 is a wasteful number, since it uses less digits than its factorization.

820732613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377.

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 820732613 is about 28648.4312484995. The cubic root of 820732613 is about 936.2688267239.

The spelling of 820732613 in words is "eight hundred twenty million, seven hundred thirty-two thousand, six hundred thirteen".