37482 has 8 divisors (see below), whose sum is σ = 74976. Its totient is φ = 12492.

The previous prime is 37463. The next prime is 37483. The reversal of 37482 is 28473.

37482 is nontrivially palindromic in base 5.

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

37482 is an admirable number.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 3⁵ + 7³ + 4⁶ + 8⁵ + 2⁵ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37482.

It is not an unprimeable number, because it can be changed into a prime (37483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3118 + ... + 3129.

It is an arithmetic number, because the mean of its divisors is an integer number (9372).

2³⁷⁴⁸² is an apocalyptic number.

37482 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.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37488).

37482 is a wasteful number, since it uses less digits than its factorization.

37482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6252.

The product of its digits is 1344, while the sum is 24.

The square root of 37482 is about 193.6026859318. The cubic root of 37482 is about 33.4662911834.

Subtracting from 37482 its reverse (28473), we obtain a palindrome (9009).

The spelling of 37482 in words is "thirty-seven thousand, four hundred eighty-two".