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BaseRepresentation
bin1111000110
31022210
433012
512331
64250
72550
oct1706
91283
10966
117a9
12686
13594
144d0
15446
hex3c6

966 has 16 divisors (see below), whose sum is σ = 2304. Its totient is φ = 264.

The previous prime is 953. The next prime is 967. The reversal of 966 is 669.

It can be divided in two parts, 96 and 6, that multiplied together give a square (576 = 242).

966 = T13 + T14 + ... + T19.

966 = 142 + 152 + ... + 172.

966 is nontrivially palindromic in base 12.

It is a Harshad number since it is a multiple of its sum of digits (21).

966 is an undulating number in base 12.

It is a Curzon number.

It is a plaindrome in base 15.

It is a nialpdrome in base 10.

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 966.

It is not an unprimeable number, because it can be changed into a prime (967) by changing a digit.

966 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31 + ... + 53.

It is an arithmetic number, because the mean of its divisors is an integer number (144).

It is a practical number, because each smaller number is the sum of distinct divisors of 966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152).

966 is an abundant number, since it is smaller than the sum of its proper divisors (1338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

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

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

The sum of its prime factors is 35.

The product of its digits is 324, while the sum is 21.

The square root of 966 is about 31.0805405358. The cubic root of 966 is about 9.8853573965.

The spelling of 966 in words is "nine hundred sixty-six", and thus it is an aban number and an oban number.

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 966