8009334 has 32 divisors (see below), whose sum is σ = 18023040. Its totient is φ = 2636136.

The previous prime is 8009321. The next prime is 8009347. The reversal of 8009334 is 4339008.

It is an interprime number because it is at equal distance from previous prime (8009321) and next prime (8009347).

It is a super-2 number, since 2×8009334² = 128298862247112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 8009298 and 8009307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3589 + ... + 5375.

It is an arithmetic number, because the mean of its divisors is an integer number (563220).

Almost surely, 2^8009334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8009334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9011520).

8009334 is an abundant number, since it is smaller than the sum of its proper divisors (10013706).

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

8009334 is a wasteful number, since it uses less digits than its factorization.

8009334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 8009334 is about 2830.0766774065. The cubic root of 8009334 is about 200.0777531017.

The spelling of 8009334 in words is "eight million, nine thousand, three hundred thirty-four".