166961 has 4 divisors (see below), whose sum is σ = 168000. Its totient is φ = 165924.

The previous prime is 166949. The next prime is 166967. The reversal of 166961 is 169661.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-166961 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 166961.

It is not an unprimeable number, because it can be changed into a prime (166967) 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 3 ways as a sum of consecutive naturals, for example, 221 + ... + 618.

It is an arithmetic number, because the mean of its divisors is an integer number (42000).

2¹⁶⁶⁹⁶¹ is an apocalyptic number.

It is an amenable number.

166961 is a deficient number, since it is larger than the sum of its proper divisors (1039).

166961 is an equidigital number, since it uses as much as digits as its factorization.

166961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038.

The product of its digits is 1944, while the sum is 29.

The square root of 166961 is about 408.6086146914. The cubic root of 166961 is about 55.0644973385.

The spelling of 166961 in words is "one hundred sixty-six thousand, nine hundred sixty-one".