73983 has 16 divisors (see below), whose sum is σ = 121856. Its totient is φ = 38880.

The previous prime is 73973. The next prime is 73999. The reversal of 73983 is 38937.

It is a Cunningham number, because it is equal to 272²-1.

It is not a de Polignac number, because 73983 - 2⁵ = 73951 is a prime.

It is a D-number.

It is a self number, because there is not a number n which added to its sum of digits gives 73983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138 + ... + 408.

It is an arithmetic number, because the mean of its divisors is an integer number (7616).

2⁷³⁹⁸³ is an apocalyptic number.

73983 is a deficient number, since it is larger than the sum of its proper divisors (47873).

73983 is a wasteful number, since it uses less digits than its factorization.

73983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294.

The product of its digits is 4536, while the sum is 30.

The square root of 73983 is about 271.9981617585. The cubic root of 73983 is about 41.9801493495.

The spelling of 73983 in words is "seventy-three thousand, nine hundred eighty-three".