81963 has 12 divisors (see below), whose sum is σ = 135408. Its totient is φ = 46800.

The previous prime is 81953. The next prime is 81967. The reversal of 81963 is 36918.

It is not a de Polignac number, because 81963 - 2⁵ = 81931 is a prime.

It is a fibodiv number, since the Fibonacci-like sequence with seeds 819 and 63 contains 81963 itself.

It is not an unprimeable number, because it can be changed into a prime (81967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 588 + ... + 713.

It is an arithmetic number, because the mean of its divisors is an integer number (11284).

2⁸¹⁹⁶³ is an apocalyptic number.

81963 is a deficient number, since it is larger than the sum of its proper divisors (53445).

81963 is a wasteful number, since it uses less digits than its factorization.

81963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1311 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 81963 is about 286.2918091738. The cubic root of 81963 is about 43.4382794919.

The spelling of 81963 in words is "eighty-one thousand, nine hundred sixty-three".