820997552 has 20 divisors (see below), whose sum is σ = 1641996096. Its totient is φ = 397256640.

The previous prime is 820997549. The next prime is 820997557. The reversal of 820997552 is 255799028.

820997552 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 820997497 and 820997506.

It is not an unprimeable number, because it can be changed into a prime (820997557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 827123 + ... + 828114.

Almost surely, 2^820997552 is an apocalyptic number.

It is an amenable number.

820997552 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

820997552 is a wasteful number, since it uses less digits than its factorization.

820997552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655276 (or 1655270 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 47.

The square root of 820997552 is about 28653.0548458624. The cubic root of 820997552 is about 936.3695608876.

The spelling of 820997552 in words is "eight hundred twenty million, nine hundred ninety-seven thousand, five hundred fifty-two".