820552 has 16 divisors (see below), whose sum is σ = 1554300. Its totient is φ = 406080.

The previous prime is 820541. The next prime is 820559. The reversal of 820552 is 255028.

It can be written as a sum of positive squares in 2 ways, for example, as 799236 + 21316 = 894^2 + 146^2 .

It is not an unprimeable number, because it can be changed into a prime (820559) by changing a digit.

820552 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 402 + ... + 1342.

2⁸²⁰⁵⁵² is an apocalyptic number.

It is an amenable number.

820552 is a deficient number, since it is larger than the sum of its proper divisors (733748).

820552 is a wasteful number, since it uses less digits than its factorization.

820552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 820552 is about 905.8432535489. The cubic root of 820552 is about 93.6200142265.

The spelling of 820552 in words is "eight hundred twenty thousand, five hundred fifty-two".