133773 has 16 divisors (see below), whose sum is σ = 196416. Its totient is φ = 80640.

The previous prime is 133769. The next prime is 133781. The reversal of 133773 is 377331.

It is not a de Polignac number, because 133773 - 2² = 133769 is a prime.

133773 is a lucky number.

It is a plaindrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2163 + ... + 2223.

It is an arithmetic number, because the mean of its divisors is an integer number (12276).

2¹³³⁷⁷³ is an apocalyptic number.

It is an amenable number.

133773 is a deficient number, since it is larger than the sum of its proper divisors (62643).

133773 is a wasteful number, since it uses less digits than its factorization.

133773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124.

The product of its digits is 1323, while the sum is 24.

The square root of 133773 is about 365.7499145591. The cubic root of 133773 is about 51.1433873360.

The spelling of 133773 in words is "one hundred thirty-three thousand, seven hundred seventy-three".