66963 has 16 divisors (see below), whose sum is σ = 102816. Its totient is φ = 38400.

The previous prime is 66959. The next prime is 66973. The reversal of 66963 is 36966.

It is not a de Polignac number, because 66963 - 2² = 66959 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66963.

It is not an unprimeable number, because it can be changed into a prime (66923) 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 15 ways as a sum of consecutive naturals, for example, 613 + ... + 713.

It is an arithmetic number, because the mean of its divisors is an integer number (6426).

2⁶⁶⁹⁶³ is an apocalyptic number.

66963 is a deficient number, since it is larger than the sum of its proper divisors (35853).

66963 is a wasteful number, since it uses less digits than its factorization.

66963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134.

The product of its digits is 5832, while the sum is 30.

The square root of 66963 is about 258.7721005054. The cubic root of 66963 is about 40.6080031462.

The spelling of 66963 in words is "sixty-six thousand, nine hundred sixty-three".