12787965 has 48 divisors (see below), whose sum is σ = 23362560. Its totient is φ = 6462720.

The previous prime is 12787937. The next prime is 12787981. The reversal of 12787965 is 56978721.

12787965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12787965 - 2¹⁴ = 12771581 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12787965.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124104 + ... + 124206.

It is an arithmetic number, because the mean of its divisors is an integer number (486720).

Almost surely, 2^12787965 is an apocalyptic number.

12787965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12787965 is a deficient number, since it is larger than the sum of its proper divisors (10574595).

12787965 is a wasteful number, since it uses less digits than its factorization.

12787965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 231 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 12787965 is about 3576.0264260769. The cubic root of 12787965 is about 233.8480824146.

The spelling of 12787965 in words is "twelve million, seven hundred eighty-seven thousand, nine hundred sixty-five".