83763 has 12 divisors (see below), whose sum is σ = 124488. Its totient is φ = 54240.

The previous prime is 83761. The next prime is 83773. The reversal of 83763 is 36738.

It is a happy number.

It is not a de Polignac number, because 83763 - 2¹ = 83761 is a prime.

83763 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83763.

It is not an unprimeable number, because it can be changed into a prime (83761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256 + ... + 482.

It is an arithmetic number, because the mean of its divisors is an integer number (10374).

2⁸³⁷⁶³ is an apocalyptic number.

83763 is a deficient number, since it is larger than the sum of its proper divisors (40725).

83763 is a wasteful number, since it uses less digits than its factorization.

83763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 271 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 83763 is about 289.4183822773. The cubic root of 83763 is about 43.7539642666.

It can be divided in two parts, 837 and 63, that added together give a square (900 = 30²).

The spelling of 83763 in words is "eighty-three thousand, seven hundred sixty-three".