8978 has 6 divisors (see below), whose sum is σ = 13671. Its totient is φ = 4422.

The previous prime is 8971. The next prime is 8999. The reversal of 8978 is 8798.

It can be written as a sum of positive squares in only one way, i.e., 4489 + 4489 = 67^2 + 67^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=67.

It is a d-powerful number, because it can be written as **8** + **7**^{4} + **9**^{4} + **8** .

It is a Duffinian number.

It is a Curzon number.

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

8978 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 (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 101 + ... + 167.

2^{8978} is an apocalyptic number.

8978 is a deficient number, since it is larger than the sum of its proper divisors (4693).

8978 is an equidigital number, since it uses as much as digits as its factorization.

8978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 69 counting only the distinct ones).

The product of its digits is 4032, while the sum is 32.

The square root of 8978 is about 94.7523086790. The cubic root of 8978 is about 20.7838755704.

Multiplying 8978 by its sum of digits (32), we get a square (287296 = 536^{2}).

The spelling of 8978 in words is "eight thousand, nine hundred seventy-eight".

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