116084331 has 24 divisors (see below), whose sum is σ = 183406080. Its totient is φ = 70167600.

The previous prime is 116084317. The next prime is 116084341. The reversal of 116084331 is 133480611.

116084331 is a `hidden beast` number, since 11 + 608 + 43 + 3 + 1 = 666.

It is not a de Polignac number, because 116084331 - 2⁵ = 116084299 is a prime.

It is a super-2 number, since 2×116084331² = 26951143807435122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116084295 and 116084304.

It is not an unprimeable number, because it can be changed into a prime (116084341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42126 + ... + 44796.

It is an arithmetic number, because the mean of its divisors is an integer number (7641920).

Almost surely, 2^116084331 is an apocalyptic number.

116084331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

116084331 is a deficient number, since it is larger than the sum of its proper divisors (67321749).

116084331 is a wasteful number, since it uses less digits than its factorization.

116084331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 116084331 is about 10774.2438713814. The cubic root of 116084331 is about 487.8180520192.

It can be divided in two parts, 1160 and 84331, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 116084331 in words is "one hundred sixteen million, eighty-four thousand, three hundred thirty-one".