8003034 has 48 divisors (see below), whose sum is σ = 19498752. Its totient is φ = 2353824.

The previous prime is 8003033. The next prime is 8003041. The reversal of 8003034 is 4303008.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 8002998 and 8003016.

It is not an unprimeable number, because it can be changed into a prime (8003033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4639 + ... + 6125.

It is an arithmetic number, because the mean of its divisors is an integer number (406224).

Almost surely, 2^8003034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8003034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9749376).

8003034 is an abundant number, since it is smaller than the sum of its proper divisors (11495718).

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

8003034 is a wasteful number, since it uses less digits than its factorization.

8003034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 8003034 is about 2828.9634143976. The cubic root of 8003034 is about 200.0252801378.

The spelling of 8003034 in words is "eight million, three thousand, thirty-four".