36785 has 8 divisors (see below), whose sum is σ = 50496. Its totient is φ = 25200.

The previous prime is 36781. The next prime is 36787. The reversal of 36785 is 58763.

36785 = T₉₉ + T₁₀₀ + ... + T₁₀₅.

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

It is not a de Polignac number, because 36785 - 2² = 36781 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (36781) 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, 491 + ... + 560.

It is an arithmetic number, because the mean of its divisors is an integer number (6312).

2³⁶⁷⁸⁵ is an apocalyptic number.

36785 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36785 is a deficient number, since it is larger than the sum of its proper divisors (13711).

36785 is a wasteful number, since it uses less digits than its factorization.

36785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063.

The product of its digits is 5040, while the sum is 29.

The square root of 36785 is about 191.7941604950. The cubic root of 36785 is about 33.2575500597.

The spelling of 36785 in words is "thirty-six thousand, seven hundred eighty-five".