820712 has 16 divisors (see below), whose sum is σ = 1550340. Its totient is φ = 407296.

The previous prime is 820711. The next prime is 820723. The reversal of 820712 is 217028.

It can be written as a sum of positive squares in 2 ways, for example, as 749956 + 70756 = 866^2 + 266^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (820711) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1088 + ... + 1680.

2⁸²⁰⁷¹² is an apocalyptic number.

It is an amenable number.

820712 is a deficient number, since it is larger than the sum of its proper divisors (729628).

820712 is a wasteful number, since it uses less digits than its factorization.

820712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 820712 is about 905.9315647443. The cubic root of 820712 is about 93.6260988414.

The spelling of 820712 in words is "eight hundred twenty thousand, seven hundred twelve".