963966 has 16 divisors (see below), whose sum is σ = 1937664. Its totient is φ = 319704.

The previous prime is 963943. The next prime is 963973. The reversal of 963966 is 669369.

963966 is a nontrivial binomial coefficient, being equal to C(1389, 2).

It is a super-3 number, since 3×963966³ = 2687239677453338088, which contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

963966 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, 1851 + ... + 2313.

It is an arithmetic number, because the mean of its divisors is an integer number (121104).

2⁹⁶³⁹⁶⁶ is an apocalyptic number.

963966 is the 1388-th triangular number.

963966 is an abundant number, since it is smaller than the sum of its proper divisors (973698).

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

963966 is a wasteful number, since it uses less digits than its factorization.

963966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815.

The product of its digits is 52488, while the sum is 39.

The square root of 963966 is about 981.8177020201. The cubic root of 963966 is about 98.7841435103.

The spelling of 963966 in words is "nine hundred sixty-three thousand, nine hundred sixty-six".