10773 has 20 divisors (see below), whose sum is σ = 19360. Its totient is φ = 5832.

The previous prime is 10771. The next prime is 10781. The reversal of 10773 is 37701.

10773 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 10773 - 2¹ = 10771 is a prime.

It is a Duffinian number.

10773 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10771) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 558 + ... + 576.

It is an arithmetic number, because the mean of its divisors is an integer number (968).

2¹⁰⁷⁷³ is an apocalyptic number.

It is an amenable number.

10773 is a deficient number, since it is larger than the sum of its proper divisors (8587).

10773 is an equidigital number, since it uses as much as digits as its factorization.

10773 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 18.

The square root of 10773 is about 103.7930633520. The cubic root of 10773 is about 22.0857534629.

The spelling of 10773 in words is "ten thousand, seven hundred seventy-three", and thus it is an iban number.