12985973 has 16 divisors (see below), whose sum is σ = 17437056. Its totient is φ = 9339840.

The previous prime is 12985969. The next prime is 12985981. The reversal of 12985973 is 37958921.

12985973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12985973 - 2² = 12985969 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12985673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5486 + ... + 7487.

It is an arithmetic number, because the mean of its divisors is an integer number (1089816).

Almost surely, 2^12985973 is an apocalyptic number.

12985973 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12985973 is a deficient number, since it is larger than the sum of its proper divisors (4451083).

12985973 is a wasteful number, since it uses less digits than its factorization.

12985973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13004.

The product of its digits is 136080, while the sum is 44.

The square root of 12985973 is about 3603.6055555513. The cubic root of 12985973 is about 235.0488686660.

The spelling of 12985973 in words is "twelve million, nine hundred eighty-five thousand, nine hundred seventy-three".