12972834 has 48 divisors (see below), whose sum is σ = 32385600. Its totient is φ = 3676320.

The previous prime is 12972833. The next prime is 12972871. The reversal of 12972834 is 43827921.

12972834 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12972833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18429 + ... + 19119.

It is an arithmetic number, because the mean of its divisors is an integer number (674700).

Almost surely, 2^12972834 is an apocalyptic number.

12972834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12972834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16192800).

12972834 is an abundant number, since it is smaller than the sum of its proper divisors (19412766).

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

12972834 is a wasteful number, since it uses less digits than its factorization.

12972834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 852 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 12972834 is about 3601.7820589258. The cubic root of 12972834 is about 234.9695690187.

The spelling of 12972834 in words is "twelve million, nine hundred seventy-two thousand, eight hundred thirty-four".