172197 has 18 divisors (see below), whose sum is σ = 267462. Its totient is φ = 106704.

The previous prime is 172181. The next prime is 172199. The reversal of 172197 is 791271.

It can be written as a sum of positive squares in only one way, i.e., 159201 + 12996 = 399^2 + 114^2 .

It is not a de Polignac number, because 172197 - 2⁴ = 172181 is a prime.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 172197.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3223 + ... + 3275.

It is an arithmetic number, because the mean of its divisors is an integer number (14859).

2¹⁷²¹⁹⁷ is an apocalyptic number.

It is an amenable number.

172197 is a deficient number, since it is larger than the sum of its proper divisors (95265).

172197 is a wasteful number, since it uses less digits than its factorization.

172197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 75 counting only the distinct ones).

The product of its digits is 882, while the sum is 27.

The square root of 172197 is about 414.9662636890. The cubic root of 172197 is about 55.6342016508.

The spelling of 172197 in words is "one hundred seventy-two thousand, one hundred ninety-seven".