112985 has 8 divisors (see below), whose sum is σ = 138240. Its totient is φ = 88624.

The previous prime is 112979. The next prime is 112997. The reversal of 112985 is 589211.

112985 = T₃₀ + T₃₁ + ... + T₈₈.

It is a happy number.

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 112985 - 2⁶ = 112921 is a prime.

It is a super-2 number, since 2×112985² = 25531220450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104 + ... + 486.

It is an arithmetic number, because the mean of its divisors is an integer number (17280).

2¹¹²⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

112985 is a deficient number, since it is larger than the sum of its proper divisors (25255).

112985 is an equidigital number, since it uses as much as digits as its factorization.

112985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447.

The product of its digits is 720, while the sum is 26.

The square root of 112985 is about 336.1324143846. The cubic root of 112985 is about 48.3437419782.

The spelling of 112985 in words is "one hundred twelve thousand, nine hundred eighty-five".