35985 has 8 divisors (see below), whose sum is σ = 57600. Its totient is φ = 19184.

The previous prime is 35983. The next prime is 35993. The reversal of 35985 is 58953.

35985 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

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 35985 - 2¹ = 35983 is a prime.

It is a Curzon number.

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 35985.

It is not an unprimeable number, because it can be changed into a prime (35983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1185 + ... + 1214.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2³⁵⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

35985 is a deficient number, since it is larger than the sum of its proper divisors (21615).

35985 is a wasteful number, since it uses less digits than its factorization.

35985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407.

The product of its digits is 5400, while the sum is 30.

The square root of 35985 is about 189.6971270209. The cubic root of 35985 is about 33.0146858418.

It can be divided in two parts, 359 and 85, that added together give a palindrome (444).

The spelling of 35985 in words is "thirty-five thousand, nine hundred eighty-five".