32982000 has 160 divisors (see below), whose sum is σ = 111421440. Its totient is φ = 8377600.

The previous prime is 32981987. The next prime is 32982007. The reversal of 32982000 is 28923.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32982007) 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, 137881 + ... + 138119.

It is an arithmetic number, because the mean of its divisors is an integer number (696384).

Almost surely, 2^32982000 is an apocalyptic number.

32982000 is a gapful number since it is divisible by the number (30) 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 32982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55710720).

32982000 is an abundant number, since it is smaller than the sum of its proper divisors (78439440).

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

32982000 is a wasteful number, since it uses less digits than its factorization.

32982000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 32982000 is about 5742.9957339354. The cubic root of 32982000 is about 320.6951035869.

The spelling of 32982000 in words is "thirty-two million, nine hundred eighty-two thousand".