172773 has 16 divisors (see below), whose sum is σ = 262400. Its totient is φ = 113724.

The previous prime is 172759. The next prime is 172787. The reversal of 172773 is 377271.

172773 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (172759) and next prime (172787).

It is not a de Polignac number, because 172773 - 2⁵ = 172741 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172373) 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, 2148 + ... + 2226.

It is an arithmetic number, because the mean of its divisors is an integer number (16400).

172773 is a Friedman number, since it can be written as 3^7*(77+2*1), using all its digits and the basic arithmetic operations.

2¹⁷²⁷⁷³ is an apocalyptic number.

It is an amenable number.

172773 is a deficient number, since it is larger than the sum of its proper divisors (89627).

172773 is an frugal number, since it uses more digits than its factorization.

With its successor (172774) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (100).

172773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 82 counting only the distinct ones).

The product of its digits is 2058, while the sum is 27.

The square root of 172773 is about 415.6597165952. The cubic root of 172773 is about 55.6961648592.

The spelling of 172773 in words is "one hundred seventy-two thousand, seven hundred seventy-three", and thus it is an iban number.