172966 has 8 divisors (see below), whose sum is σ = 261360. Its totient is φ = 85848.

The previous prime is 172933. The next prime is 172969. The reversal of 172966 is 669271.

172966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172969) 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, 175 + ... + 613.

It is an arithmetic number, because the mean of its divisors is an integer number (32670).

2¹⁷²⁹⁶⁶ is an apocalyptic number.

172966 is a deficient number, since it is larger than the sum of its proper divisors (88394).

172966 is a wasteful number, since it uses less digits than its factorization.

172966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638.

The product of its digits is 4536, while the sum is 31.

The square root of 172966 is about 415.8918128552. The cubic root of 172966 is about 55.7168960300.

The spelling of 172966 in words is "one hundred seventy-two thousand, nine hundred sixty-six".