8006553 has 16 divisors (see below), whose sum is σ = 12378240. Its totient is φ = 5105232.

The previous prime is 8006549. The next prime is 8006561. The reversal of 8006553 is 3556008.

8006553 is a `hidden beast` number, since 8 + 0 + 0 + 655 + 3 = 666.

It is not a de Polignac number, because 8006553 - 2² = 8006549 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

8006553 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8006513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5826 + ... + 7067.

It is an arithmetic number, because the mean of its divisors is an integer number (773640).

Almost surely, 2^8006553 is an apocalyptic number.

It is an amenable number.

8006553 is a deficient number, since it is larger than the sum of its proper divisors (4371687).

8006553 is a wasteful number, since it uses less digits than its factorization.

8006553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12925 (or 12919 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 8006553 is about 2829.5853053054. The cubic root of 8006553 is about 200.0545934298.

The spelling of 8006553 in words is "eight million, six thousand, five hundred fifty-three".