834984 has 24 divisors (see below), whose sum is σ = 2261610. Its totient is φ = 278304.

The previous prime is 834983. The next prime is 834991. The reversal of 834984 is 489438.

It can be written as a sum of positive squares in only one way, i.e., 562500 + 272484 = 750^2 + 522^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 834984.

It is not an unprimeable number, because it can be changed into a prime (834983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5727 + ... + 5870.

2⁸³⁴⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

834984 is an abundant number, since it is smaller than the sum of its proper divisors (1426626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

834984 is a wasteful number, since it uses less digits than its factorization.

834984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11609 (or 11602 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 834984 is about 913.7745892724. The cubic root of 834984 is about 94.1656953807.

The spelling of 834984 in words is "eight hundred thirty-four thousand, nine hundred eighty-four".