172769 has 4 divisors (see below), whose sum is σ = 173844. Its totient is φ = 171696.

The previous prime is 172759. The next prime is 172787. The reversal of 172769 is 967271.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 967271 = 19 ⋅50909.

It can be written as a sum of positive squares in 2 ways, for example, as 160000 + 12769 = 400^2 + 113^2 .

It is a cyclic number.

It is not a de Polignac number, because 172769 - 2¹² = 168673 is a prime.

It is a super-2 number, since 2×172769² = 59698254722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (172709) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 242 + ... + 635.

It is an arithmetic number, because the mean of its divisors is an integer number (43461).

2¹⁷²⁷⁶⁹ is an apocalyptic number.

It is an amenable number.

172769 is a deficient number, since it is larger than the sum of its proper divisors (1075).

172769 is an equidigital number, since it uses as much as digits as its factorization.

172769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074.

The product of its digits is 5292, while the sum is 32.

The square root of 172769 is about 415.6549049392. The cubic root of 172769 is about 55.6957350344.

The spelling of 172769 in words is "one hundred seventy-two thousand, seven hundred sixty-nine".