173967 has 8 divisors (see below), whose sum is σ = 234624. Its totient is φ = 114648.

The previous prime is 173933. The next prime is 173969. The reversal of 173967 is 769371.

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

It is not a de Polignac number, because 173967 - 2⁷ = 173839 is a prime.

173967 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (173969) 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, 28 + ... + 590.

It is an arithmetic number, because the mean of its divisors is an integer number (29328).

2¹⁷³⁹⁶⁷ is an apocalyptic number.

173967 is a deficient number, since it is larger than the sum of its proper divisors (60657).

173967 is a wasteful number, since it uses less digits than its factorization.

173967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669.

The product of its digits is 7938, while the sum is 33.

The square root of 173967 is about 417.0935146942. The cubic root of 173967 is about 55.8241721560.

The spelling of 173967 in words is "one hundred seventy-three thousand, nine hundred sixty-seven".