12825736 has 64 divisors (see below), whose sum is σ = 30689280. Its totient is φ = 4879680.

The previous prime is 12825733. The next prime is 12825737. The reversal of 12825736 is 63752821.

12825736 = 111² + 112² + ... + 341².

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12825733) 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, 28731 + ... + 29173.

It is an arithmetic number, because the mean of its divisors is an integer number (479520).

Almost surely, 2^12825736 is an apocalyptic number.

12825736 is the 2068-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12825736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15344640).

12825736 is an abundant number, since it is smaller than the sum of its proper divisors (17863544).

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

12825736 is a wasteful number, since it uses less digits than its factorization.

12825736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 510 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 12825736 is about 3581.3036732453. The cubic root of 12825736 is about 234.0780901860.

The spelling of 12825736 in words is "twelve million, eight hundred twenty-five thousand, seven hundred thirty-six".