6133116 has 48 divisors (see below), whose sum is σ = 15805440. Its totient is φ = 1835520.

The previous prime is 6133093. The next prime is 6133117. The reversal of 6133116 is 6113316.

It is a super-3 number, since 3×6133116³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 6133092 and 6133101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6133117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12565 + ... + 13043.

It is an arithmetic number, because the mean of its divisors is an integer number (329280).

Almost surely, 2^6133116 is an apocalyptic number.

6133116 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6133116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7902720).

6133116 is an abundant number, since it is smaller than the sum of its proper divisors (9672324).

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

6133116 is a wasteful number, since it uses less digits than its factorization.

6133116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 592 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

The square root of 6133116 is about 2476.5128709538. The cubic root of 6133116 is about 183.0460632349.

The spelling of 6133116 in words is "six million, one hundred thirty-three thousand, one hundred sixteen".