983967 has 8 divisors (see below), whose sum is σ = 1330224. Its totient is φ = 646848.

The previous prime is 983951. The next prime is 983987. The reversal of 983967 is 769389.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 983967 - 2⁴ = 983951 is a prime.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 983967.

It is not an unprimeable number, because it can be changed into a prime (983987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2028 + ... + 2465.

It is an arithmetic number, because the mean of its divisors is an integer number (166278).

2⁹⁸³⁹⁶⁷ is an apocalyptic number.

983967 is a deficient number, since it is larger than the sum of its proper divisors (346257).

983967 is a wasteful number, since it uses less digits than its factorization.

983967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4569.

The product of its digits is 81648, while the sum is 42.

The square root of 983967 is about 991.9511076661. The cubic root of 983967 is about 99.4626847609.

The spelling of 983967 in words is "nine hundred eighty-three thousand, nine hundred sixty-seven".