172797 has 8 divisors (see below), whose sum is σ = 232320. Its totient is φ = 114240.

The previous prime is 172787. The next prime is 172801. The reversal of 172797 is 797271.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 172797 - 2⁸ = 172541 is a prime.

172797 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 597 + ... + 837.

It is an arithmetic number, because the mean of its divisors is an integer number (29040).

2¹⁷²⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

172797 is a deficient number, since it is larger than the sum of its proper divisors (59523).

172797 is a wasteful number, since it uses less digits than its factorization.

172797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483.

The product of its digits is 6174, while the sum is 33.

The square root of 172797 is about 415.6885853617. The cubic root of 172797 is about 55.6987436689.

It can be divided in two parts, 172 and 797, that added together give a palindrome (969).

The spelling of 172797 in words is "one hundred seventy-two thousand, seven hundred ninety-seven".