8977 has 4 divisors (see below), whose sum is σ = 9216. Its totient is φ = 8740.

The previous prime is 8971. The next prime is 8999. The reversal of 8977 is 7798.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 8977 - 2³ = 8969 is a prime.

It is a d-powerful number, because it can be written as 8 + 7 + 9⁴ + 7⁴ .

It is a Duffinian number.

8977 is a lucky number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (8971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49 + ... + 142.

It is an arithmetic number, because the mean of its divisors is an integer number (2304).

2⁸⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

8977 is a deficient number, since it is larger than the sum of its proper divisors (239).

8977 is a wasteful number, since it uses less digits than its factorization.

8977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238.

The product of its digits is 3528, while the sum is 31.

The square root of 8977 is about 94.7470316158. The cubic root of 8977 is about 20.7831038823.

The spelling of 8977 in words is "eight thousand, nine hundred seventy-seven".