133983 has 6 divisors (see below), whose sum is σ = 193544. Its totient is φ = 89316.

The previous prime is 133981. The next prime is 133993. The reversal of 133983 is 389331.

133983 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 133983 - 2¹ = 133981 is a prime.

It is a Duffinian number.

133983 is strictly pandigital in base 7.

133983 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133981) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7435 + ... + 7452.

2¹³³⁹⁸³ is an apocalyptic number.

133983 is a deficient number, since it is larger than the sum of its proper divisors (59561).

133983 is a wasteful number, since it uses less digits than its factorization.

133983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14893 (or 14890 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 133983 is about 366.0368833875. The cubic root of 133983 is about 51.1701353749.

Subtracting from 133983 its sum of digits (27), we obtain a square (133956 = 366²).

The spelling of 133983 in words is "one hundred thirty-three thousand, nine hundred eighty-three".