12827952 has 30 divisors (see below), whose sum is σ = 35900852. Its totient is φ = 4275936.

The previous prime is 12827923. The next prime is 12827953. The reversal of 12827952 is 25972821.

12827952 is digitally balanced in base 2, because in such base 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 (36).

It is not an unprimeable number, because it can be changed into a prime (12827953) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44398 + ... + 44685.

Almost surely, 2^12827952 is an apocalyptic number.

12827952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12827952 is an abundant number, since it is smaller than the sum of its proper divisors (23072900).

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

12827952 is a wasteful number, since it uses less digits than its factorization.

12827952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89097 (or 89088 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 12827952 is about 3581.6130444257. The cubic root of 12827952 is about 234.0915705606.

The spelling of 12827952 in words is "twelve million, eight hundred twenty-seven thousand, nine hundred fifty-two".