12967201 has 9 divisors (see below), whose sum is σ = 14092281. Its totient is φ = 11926512.

The previous prime is 12967183. The next prime is 12967219. The reversal of 12967201 is 10276921.

It is a happy number.

The square root of 12967201 is 3601.

It is a perfect power (a square), and thus also a powerful number.

12967201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12967183) and next prime (12967219).

It can be written as a sum of positive squares in 4 ways, for example, as 5997601 + 6969600 = 2449^2 + 2640^2 .

It is not a de Polignac number, because 12967201 - 2²¹ = 10870049 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12967201.

It is not an unprimeable number, because it can be changed into a prime (12967261) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46675 + ... + 46951.

It is an arithmetic number, because the mean of its divisors is an integer number (1565809).

Almost surely, 2^12967201 is an apocalyptic number.

12967201 is the 3601-st square number.

12967201 is the 1801-st centered octagonal number.

It is an amenable number.

12967201 is a deficient number, since it is larger than the sum of its proper divisors (1125080).

12967201 is an frugal number, since it uses more digits than its factorization.

12967201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The cubic root of 12967201 is about 234.9355549859.

The spelling of 12967201 in words is "twelve million, nine hundred sixty-seven thousand, two hundred one".