981963 has 16 divisors (see below), whose sum is σ = 1476000. Its totient is φ = 653184.

The previous prime is 981961. The next prime is 981979. The reversal of 981963 is 369189.

It is not a de Polignac number, because 981963 - 2¹ = 981961 is a prime.

981963 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (981961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1963 + ... + 2411.

It is an arithmetic number, because the mean of its divisors is an integer number (92250).

2⁹⁸¹⁹⁶³ is an apocalyptic number.

981963 is a deficient number, since it is larger than the sum of its proper divisors (494037).

981963 is an frugal number, since it uses more digits than its factorization.

981963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 452 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 981963 is about 990.9404623891. The cubic root of 981963 is about 99.3951151876.

Subtracting from 981963 its product of digits (11664), we obtain a cube (970299 = 99³).

The spelling of 981963 in words is "nine hundred eighty-one thousand, nine hundred sixty-three".