36982 has 12 divisors (see below), whose sum is σ = 62028. Its totient is φ = 16400.

The previous prime is 36979. The next prime is 36997. The reversal of 36982 is 28963.

36982 is nontrivially palindromic in base 5.

It is a d-powerful number, because it can be written as 3⁷ + 6⁴ + 9³ + 8⁵ + 2 .

Its product of digits (2592) is a multiple of the sum of its prime divisors (54).

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 36982.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 882 + ... + 922.

It is an arithmetic number, because the mean of its divisors is an integer number (5169).

2³⁶⁹⁸² is an apocalyptic number.

36982 is a deficient number, since it is larger than the sum of its proper divisors (25046).

36982 is a wasteful number, since it uses less digits than its factorization.

36982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 54 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 36982 is about 192.3070461528. The cubic root of 36982 is about 33.3168140370.

It can be divided in two parts, 3698 and 2, that multiplied together give a square (7396 = 86²).

The spelling of 36982 in words is "thirty-six thousand, nine hundred eighty-two".