50787 has 24 divisors (see below), whose sum is σ = 87360. Its totient is φ = 29160.

The previous prime is 50777. The next prime is 50789. The reversal of 50787 is 78705.

50787 is nontrivially palindromic in base 2.

50787 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 50787 - 2⁶ = 50723 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a nialpdrome in base 9 and base 16.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 50787.

It is not an unprimeable number, because it can be changed into a prime (50789) 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, 2664 + ... + 2682.

It is an arithmetic number, because the mean of its divisors is an integer number (3640).

2⁵⁰⁷⁸⁷ is an apocalyptic number.

50787 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

50787 is a deficient number, since it is larger than the sum of its proper divisors (36573).

50787 is a wasteful number, since it uses less digits than its factorization.

50787 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 50787 is about 225.3597124599. The cubic root of 50787 is about 37.0325984928.

50787 divided by its sum of digits (27) gives a palindrome (1881).

The spelling of 50787 in words is "fifty thousand, seven hundred eighty-seven".