7005834 has 48 divisors (see below), whose sum is σ = 16982784. Its totient is φ = 2068800.

The previous prime is 7005827. The next prime is 7005847. The reversal of 7005834 is 4385007.

It is a junction number, because it is equal to n+sod(n) for n = 7005798 and 7005807.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7687 + ... + 8549.

It is an arithmetic number, because the mean of its divisors is an integer number (353808).

Almost surely, 2^7005834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7005834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8491392).

7005834 is an abundant number, since it is smaller than the sum of its proper divisors (9976950).

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

7005834 is a wasteful number, since it uses less digits than its factorization.

7005834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 7005834 is about 2646.8536038096. The cubic root of 7005834 is about 191.3462465705.

The spelling of 7005834 in words is "seven million, five thousand, eight hundred thirty-four".