49785 has 8 divisors (see below), whose sum is σ = 79680. Its totient is φ = 26544.

The previous prime is 49783. The next prime is 49787. The reversal of 49785 is 58794.

49785 = 66² + 67² + ... + 75².

49785 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49783) and next prime (49787).

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

It is not a de Polignac number, because 49785 - 2¹ = 49783 is a prime.

It is a d-powerful number, because it can be written as 4 + 9² + 7⁵ + 8⁵ + 5³ .

It is a Curzon number.

It is a plaindrome in base 11.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (49783) 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, 1645 + ... + 1674.

It is an arithmetic number, because the mean of its divisors is an integer number (9960).

2⁴⁹⁷⁸⁵ is an apocalyptic number.

It is an amenable number.

49785 is a deficient number, since it is larger than the sum of its proper divisors (29895).

49785 is a wasteful number, since it uses less digits than its factorization.

49785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3327.

The product of its digits is 10080, while the sum is 33.

The square root of 49785 is about 223.1255252095. The cubic root of 49785 is about 36.7874346672.

Subtracting 49785 from its reverse (58794), we obtain a palindrome (9009).

The spelling of 49785 in words is "forty-nine thousand, seven hundred eighty-five".