12982032 has 160 divisors (see below), whose sum is σ = 43925760. Its totient is φ = 3639168.

The previous prime is 12982031. The next prime is 12982037. The reversal of 12982032 is 23028921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12981987 and 12982005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12982031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244918 + ... + 244970.

It is an arithmetic number, because the mean of its divisors is an integer number (274536).

Almost surely, 2^12982032 is an apocalyptic number.

12982032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12982032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21962880).

12982032 is an abundant number, since it is smaller than the sum of its proper divisors (30943728).

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

12982032 is an frugal number, since it uses more digits than its factorization.

12982032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12982032 is about 3603.0587006043. The cubic root of 12982032 is about 235.0250886146.

The spelling of 12982032 in words is "twelve million, nine hundred eighty-two thousand, thirty-two".