8004949 has 2 divisors, whose sum is σ = 8004950. Its totient is φ = 8004948.

The previous prime is 8004917. The next prime is 8004973. The reversal of 8004949 is 9494008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7452900 + 552049 = 2730^2 + 743^2 .

It is a cyclic number.

It is not a de Polignac number, because 8004949 - 2⁵ = 8004917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8004979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4002474 + 4002475.

It is an arithmetic number, because the mean of its divisors is an integer number (4002475).

Almost surely, 2^8004949 is an apocalyptic number.

It is an amenable number.

8004949 is a deficient number, since it is larger than the sum of its proper divisors (1).

8004949 is an equidigital number, since it uses as much as digits as its factorization.

8004949 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 8004949 is about 2829.3018573493. The cubic root of 8004949 is about 200.0412331652.

The spelling of 8004949 in words is "eight million, four thousand, nine hundred forty-nine".