437982 has 8 divisors (see below), whose sum is σ = 875976. Its totient is φ = 145992.

The previous prime is 437977. The next prime is 438001. The reversal of 437982 is 289734.

437982 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

437982 is an admirable number.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

437982 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36493 + ... + 36504.

It is an arithmetic number, because the mean of its divisors is an integer number (109497).

2⁴³⁷⁹⁸² is an apocalyptic number.

437982 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

437982 is a wasteful number, since it uses less digits than its factorization.

437982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73002.

The product of its digits is 12096, while the sum is 33.

The square root of 437982 is about 661.8020852188. The cubic root of 437982 is about 75.9425928438.

The spelling of 437982 in words is "four hundred thirty-seven thousand, nine hundred eighty-two".