984963 has 32 divisors (see below), whose sum is σ = 1658880. Its totient is φ = 506880.

The previous prime is 984959. The next prime is 985003. The reversal of 984963 is 369489.

984963 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 984963 - 2² = 984959 is a prime.

It is a super-2 number, since 2×984963² = 1940304222738, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

984963 is a lucky number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (984913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11023 + ... + 11111.

It is an arithmetic number, because the mean of its divisors is an integer number (51840).

2⁹⁸⁴⁹⁶³ is an apocalyptic number.

984963 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

984963 is a deficient number, since it is larger than the sum of its proper divisors (673917).

984963 is a wasteful number, since it uses less digits than its factorization.

984963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147.

The product of its digits is 46656, while the sum is 39.

The square root of 984963 is about 992.4530215582. The cubic root of 984963 is about 99.4962331175.

The spelling of 984963 in words is "nine hundred eighty-four thousand, nine hundred sixty-three".