36981 has 12 divisors (see below), whose sum is σ = 61152. Its totient is φ = 21096.

The previous prime is 36979. The next prime is 36997. The reversal of 36981 is 18963.

It is not a de Polignac number, because 36981 - 2¹ = 36979 is a prime.

It is a super-2 number, since 2×36981² = 2735188722, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3⁷ + 6⁴ + 9³ + 8⁵ + 1 .

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36981.

It is not an unprimeable number, because it can be changed into a prime (36901) 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 11 ways as a sum of consecutive naturals, for example, 231 + ... + 356.

It is an arithmetic number, because the mean of its divisors is an integer number (5096).

2³⁶⁹⁸¹ is an apocalyptic number.

It is an amenable number.

36981 is a deficient number, since it is larger than the sum of its proper divisors (24171).

36981 is a wasteful number, since it uses less digits than its factorization.

36981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 597 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 36981 is about 192.3044461264. The cubic root of 36981 is about 33.3165137367.

The spelling of 36981 in words is "thirty-six thousand, nine hundred eighty-one".