47785 has 8 divisors (see below), whose sum is σ = 60480. Its totient is φ = 36144.

The previous prime is 47779. The next prime is 47791. The reversal of 47785 is 58774.

47785 = T₉ + T₁₀ + ... + T₆₅.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (47779) and next prime (47791).

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 47785 - 2³ = 47777 is a prime.

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

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, 157 + ... + 346.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2⁴⁷⁷⁸⁵ is an apocalyptic number.

It is an amenable number.

47785 is a deficient number, since it is larger than the sum of its proper divisors (12695).

47785 is a wasteful number, since it uses less digits than its factorization.

47785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527.

The product of its digits is 7840, while the sum is 31.

The square root of 47785 is about 218.5978041976. The cubic root of 47785 is about 36.2880693995.

The spelling of 47785 in words is "forty-seven thousand, seven hundred eighty-five".