172263 has 16 divisors (see below), whose sum is σ = 283136. Its totient is φ = 90720.

The previous prime is 172259. The next prime is 172279. The reversal of 172263 is 362271.

It is a happy number.

172263 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 172263 - 2² = 172259 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172213) 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, 43 + ... + 588.

It is an arithmetic number, because the mean of its divisors is an integer number (17696).

2¹⁷²²⁶³ is an apocalyptic number.

172263 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

172263 is a deficient number, since it is larger than the sum of its proper divisors (110873).

172263 is a wasteful number, since it uses less digits than its factorization.

172263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654.

The product of its digits is 504, while the sum is 21.

The square root of 172263 is about 415.0457806074. The cubic root of 172263 is about 55.6413086044.

It can be divided in two parts, 172 and 263, that added together give a triangular number (435 = T₂₉).

The spelling of 172263 in words is "one hundred seventy-two thousand, two hundred sixty-three".