7133904 has 60 divisors (see below), whose sum is σ = 20195136. Its totient is φ = 2350656.

The previous prime is 7133899. The next prime is 7133921. The reversal of 7133904 is 4093317.

7133904 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15177 + ... + 15639.

Almost surely, 2^7133904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7133904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10097568).

7133904 is an abundant number, since it is smaller than the sum of its proper divisors (13061232).

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

7133904 is a wasteful number, since it uses less digits than its factorization.

7133904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 7133904 is about 2670.9369142681. The cubic root of 7133904 is about 192.5051800484.

The spelling of 7133904 in words is "seven million, one hundred thirty-three thousand, nine hundred four".