12772801 has 2 divisors, whose sum is σ = 12772802. Its totient is φ = 12772800.

The previous prime is 12772777. The next prime is 12772811. The reversal of 12772801 is 10827721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8549776 + 4223025 = 2924^2 + 2055^2 .

It is an emirp because it is prime and its reverse (10827721) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12772801 - 2¹⁹ = 12248513 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12772801.

It is not a weakly prime, because it can be changed into another prime (12772811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6386400 + 6386401.

It is an arithmetic number, because the mean of its divisors is an integer number (6386401).

Almost surely, 2^12772801 is an apocalyptic number.

It is an amenable number.

12772801 is a deficient number, since it is larger than the sum of its proper divisors (1).

12772801 is an equidigital number, since it uses as much as digits as its factorization.

12772801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1568, while the sum is 28.

The square root of 12772801 is about 3573.9055667435. The cubic root of 12772801 is about 233.7556133133.

The spelling of 12772801 in words is "twelve million, seven hundred seventy-two thousand, eight hundred one".