12972193 has 16 divisors (see below), whose sum is σ = 15220800. Its totient is φ = 10946880.

The previous prime is 12972149. The next prime is 12972217. The reversal of 12972193 is 39127921.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12972193 - 2¹³ = 12964001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12972103) 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 in 15 ways as a sum of consecutive naturals, for example, 6258 + ... + 8068.

It is an arithmetic number, because the mean of its divisors is an integer number (951300).

Almost surely, 2^12972193 is an apocalyptic number.

12972193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12972193 is a deficient number, since it is larger than the sum of its proper divisors (2248607).

12972193 is a wasteful number, since it uses less digits than its factorization.

12972193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872.

The product of its digits is 6804, while the sum is 34.

The square root of 12972193 is about 3601.6930740972. The cubic root of 12972193 is about 234.9656989320.

The spelling of 12972193 in words is "twelve million, nine hundred seventy-two thousand, one hundred ninety-three".