12983964 has 24 divisors (see below), whose sum is σ = 34624128. Its totient is φ = 3709680.

The previous prime is 12983963. The next prime is 12983977. The reversal of 12983964 is 46938921.

12983964 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12983963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77202 + ... + 77369.

It is an arithmetic number, because the mean of its divisors is an integer number (1442672).

Almost surely, 2^12983964 is an apocalyptic number.

12983964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12983964 is an abundant number, since it is smaller than the sum of its proper divisors (21640164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12983964 is a wasteful number, since it uses less digits than its factorization.

12983964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154585 (or 154583 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 12983964 is about 3603.3267961705. The cubic root of 12983964 is about 235.0367469320.

The spelling of 12983964 in words is "twelve million, nine hundred eighty-three thousand, nine hundred sixty-four".