804014001 has 36 divisors (see below), whose sum is σ = 1353460212. Its totient is φ = 458587584.

The previous prime is 804013981. The next prime is 804014021. The reversal of 804014001 is 100410408.

It is an interprime number because it is at equal distance from previous prime (804013981) and next prime (804014021).

It can be written as a sum of positive squares in 2 ways, for example, as 635040000 + 168974001 = 25200^2 + 12999^2 .

It is not a de Polignac number, because 804014001 - 2¹³ = 804005809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (804014021) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 297211 + ... + 299903.

It is an arithmetic number, because the mean of its divisors is an integer number (37596117).

Almost surely, 2^804014001 is an apocalyptic number.

It is an amenable number.

804014001 is a deficient number, since it is larger than the sum of its proper divisors (549446211).

804014001 is a wasteful number, since it uses less digits than its factorization.

804014001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3390 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 804014001 is about 28355.1406450400. The cubic root of 804014001 is about 929.8677890445.

Adding to 804014001 its reverse (100410408), we get a palindrome (904424409).

The spelling of 804014001 in words is "eight hundred four million, fourteen thousand, one".