12584801 has 2 divisors, whose sum is σ = 12584802. Its totient is φ = 12584800.

The previous prime is 12584771. The next prime is 12584807. The reversal of 12584801 is 10848521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10627600 + 1957201 = 3260^2 + 1399^2 .

It is an emirp because it is prime and its reverse (10848521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12584801 - 2¹⁰ = 12583777 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (12584807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6292400 + 6292401.

It is an arithmetic number, because the mean of its divisors is an integer number (6292401).

Almost surely, 2^12584801 is an apocalyptic number.

It is an amenable number.

12584801 is a deficient number, since it is larger than the sum of its proper divisors (1).

12584801 is an equidigital number, since it uses as much as digits as its factorization.

12584801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 12584801 is about 3547.5063072530. The cubic root of 12584801 is about 232.6030745037.

The spelling of 12584801 in words is "twelve million, five hundred eighty-four thousand, eight hundred one".