966105 has 24 divisors (see below), whose sum is σ = 1914432. Its totient is φ = 441504.

The previous prime is 966041. The next prime is 966109. The reversal of 966105 is 501669.

966105 = 176² + 177² + ... + 202².

It is not a de Polignac number, because 966105 - 2⁶ = 966041 is a prime.

966105 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 966105.

It is not an unprimeable number, because it can be changed into a prime (966109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1219 + ... + 1848.

It is an arithmetic number, because the mean of its divisors is an integer number (79768).

2⁹⁶⁶¹⁰⁵ is an apocalyptic number.

It is an amenable number.

966105 is a deficient number, since it is larger than the sum of its proper divisors (948327).

966105 is a wasteful number, since it uses less digits than its factorization.

966105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3085 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 966105 is about 982.9064044964. The cubic root of 966105 is about 98.8571554862.

The spelling of 966105 in words is "nine hundred sixty-six thousand, one hundred five".