8000977 has 2 divisors, whose sum is σ = 8000978. Its totient is φ = 8000976.

The previous prime is 8000963. The next prime is 8000981. The reversal of 8000977 is 7790008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7447441 + 553536 = 2729^2 + 744^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8000977 is a prime.

It is not a weakly prime, because it can be changed into another prime (8000947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4000488 + 4000489.

It is an arithmetic number, because the mean of its divisors is an integer number (4000489).

Almost surely, 2^8000977 is an apocalyptic number.

It is an amenable number.

8000977 is a deficient number, since it is larger than the sum of its proper divisors (1).

8000977 is an equidigital number, since it uses as much as digits as its factorization.

8000977 is an evil number, because the sum of its binary digits is even.

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

The square root of 8000977 is about 2828.5998303047. The cubic root of 8000977 is about 200.0081413353.

Adding to 8000977 its sum of digits (31), we get a palindrome (8001008).

The spelling of 8000977 in words is "eight million, nine hundred seventy-seven", and thus it is an aban number.