983961 has 16 divisors (see below), whose sum is σ = 1590720. Its totient is φ = 596160.

The previous prime is 983951. The next prime is 983987. The reversal of 983961 is 169389.

983961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 983961 - 2⁵ = 983929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (983911) 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, 1360 + ... + 1953.

It is an arithmetic number, because the mean of its divisors is an integer number (99420).

2⁹⁸³⁹⁶¹ is an apocalyptic number.

It is an amenable number.

983961 is a deficient number, since it is larger than the sum of its proper divisors (606759).

983961 is a wasteful number, since it uses less digits than its factorization.

983961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333 (or 3327 counting only the distinct ones).

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

The square root of 983961 is about 991.9480833189. The cubic root of 983961 is about 99.4624825938.

The spelling of 983961 in words is "nine hundred eighty-three thousand, nine hundred sixty-one".