12771993 has 32 divisors (see below), whose sum is σ = 19305216. Its totient is φ = 7458048.

The previous prime is 12771991. The next prime is 12772003. The reversal of 12771993 is 39917721.

It is not a de Polignac number, because 12771993 - 2¹ = 12771991 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (12771991) 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 31 ways as a sum of consecutive naturals, for example, 76396 + ... + 76562.

It is an arithmetic number, because the mean of its divisors is an integer number (603288).

Almost surely, 2^12771993 is an apocalyptic number.

12771993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12771993 is a deficient number, since it is larger than the sum of its proper divisors (6533223).

12771993 is a wasteful number, since it uses less digits than its factorization.

12771993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273.

The product of its digits is 23814, while the sum is 39.

The square root of 12771993 is about 3573.7925233567. The cubic root of 12771993 is about 233.7506841278.

The spelling of 12771993 in words is "twelve million, seven hundred seventy-one thousand, nine hundred ninety-three".