8006977 has 8 divisors (see below), whose sum is σ = 8822592. Its totient is φ = 7206000.

The previous prime is 8006941. The next prime is 8006989. The reversal of 8006977 is 7796008.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8006977 - 2¹⁵ = 7974209 is a prime.

It is a super-2 number, since 2×8006977² = 128223361357058, which contains 22 as substring.

It is a Duffinian number.

8006977 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8006077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2493 + ... + 4714.

It is an arithmetic number, because the mean of its divisors is an integer number (1102824).

Almost surely, 2^8006977 is an apocalyptic number.

It is an amenable number.

8006977 is a deficient number, since it is larger than the sum of its proper divisors (815615).

8006977 is a wasteful number, since it uses less digits than its factorization.

8006977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7319.

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 8006977 is about 2829.6602269531. The cubic root of 8006977 is about 200.0581247726.

It can be divided in two parts, 800 and 6977, that added together give a palindrome (7777).

The spelling of 8006977 in words is "eight million, six thousand, nine hundred seventy-seven".