172293 has 16 divisors (see below), whose sum is σ = 262656. Its totient is φ = 99440.

The previous prime is 172283. The next prime is 172297. The reversal of 172293 is 392271.

It is not a de Polignac number, because 172293 - 2¹² = 168197 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172297) 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, 646 + ... + 872.

It is an arithmetic number, because the mean of its divisors is an integer number (16416).

2¹⁷²²⁹³ is an apocalyptic number.

It is an amenable number.

172293 is a deficient number, since it is larger than the sum of its proper divisors (90363).

172293 is a wasteful number, since it uses less digits than its factorization.

172293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264.

The product of its digits is 756, while the sum is 24.

The square root of 172293 is about 415.0819196255. The cubic root of 172293 is about 55.6445384378.

It can be divided in two parts, 172 and 293, that added together give a triangular number (465 = T₃₀).

The spelling of 172293 in words is "one hundred seventy-two thousand, two hundred ninety-three".