166971 has 8 divisors (see below), whose sum is σ = 254464. Its totient is φ = 95400.

The previous prime is 166967. The next prime is 166973. The reversal of 166971 is 179661.

166971 = T₃₉ + T₄₀ + ... + T₁₀₁.

166971 is digitally balanced in base 2 and base 7, because in such bases 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 not a de Polignac number, because 166971 - 2² = 166967 is a prime.

166971 is strictly pandigital in base 7.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (166973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3955 + ... + 3996.

It is an arithmetic number, because the mean of its divisors is an integer number (31808).

2¹⁶⁶⁹⁷¹ is an apocalyptic number.

166971 is a deficient number, since it is larger than the sum of its proper divisors (87493).

166971 is an equidigital number, since it uses as much as digits as its factorization.

166971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7961.

The product of its digits is 2268, while the sum is 30.

The square root of 166971 is about 408.6208511567. The cubic root of 166971 is about 55.0655966651.

The spelling of 166971 in words is "one hundred sixty-six thousand, nine hundred seventy-one".