92985 has 8 divisors (see below), whose sum is σ = 148800. Its totient is φ = 49584.

The previous prime is 92959. The next prime is 92987. The reversal of 92985 is 58929.

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

It is not a de Polignac number, because 92985 - 2⁶ = 92921 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (92987) 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, 3085 + ... + 3114.

It is an arithmetic number, because the mean of its divisors is an integer number (18600).

2⁹²⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

92985 is a deficient number, since it is larger than the sum of its proper divisors (55815).

92985 is a wasteful number, since it uses less digits than its factorization.

92985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6207.

The product of its digits is 6480, while the sum is 33.

The square root of 92985 is about 304.9344191789. The cubic root of 92985 is about 45.3041129939.

The spelling of 92985 in words is "ninety-two thousand, nine hundred eighty-five".