50985 has 24 divisors (see below), whose sum is σ = 97344. Its totient is φ = 24480.

The previous prime is 50971. The next prime is 50989. The reversal of 50985 is 58905.

50985 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 not a de Polignac number, because 50985 - 2⁴ = 50969 is a prime.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 50985.

It is not an unprimeable number, because it can be changed into a prime (50989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444 + ... + 546.

It is an arithmetic number, because the mean of its divisors is an integer number (4056).

2⁵⁰⁹⁸⁵ is an apocalyptic number.

50985 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

50985 is a deficient number, since it is larger than the sum of its proper divisors (46359).

50985 is a wasteful number, since it uses less digits than its factorization.

50985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 50985 is about 225.7985828122. The cubic root of 50985 is about 37.0806616207.

It can be divided in two parts, 50 and 985, that added together give a triangular number (1035 = T₄₅).

The spelling of 50985 in words is "fifty thousand, nine hundred eighty-five".