36985 has 8 divisors (see below), whose sum is σ = 47880. Its totient is φ = 27264.

The previous prime is 36979. The next prime is 36997. The reversal of 36985 is 58963.

It can be written as a sum of positive squares in 4 ways, for example, as 121 + 36864 = 11^2 + 192^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 36985 - 2⁷ = 36857 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 3⁷ + 6⁴ + 9³ + 8⁵ + 5 .

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36985.

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 7 ways as a sum of consecutive naturals, for example, 220 + ... + 349.

It is an arithmetic number, because the mean of its divisors is an integer number (5985).

2³⁶⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

36985 is a deficient number, since it is larger than the sum of its proper divisors (10895).

36985 is a wasteful number, since it uses less digits than its factorization.

36985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587.

The product of its digits is 6480, while the sum is 31.

The square root of 36985 is about 192.3148460208. The cubic root of 36985 is about 33.3177149053.

It can be divided in two parts, 369 and 85, that added together give a palindrome (454).

The spelling of 36985 in words is "thirty-six thousand, nine hundred eighty-five".