116892 has 36 divisors (see below), whose sum is σ = 314496. Its totient is φ = 36480.

The previous prime is 116881. The next prime is 116903. The reversal of 116892 is 298611.

It is an interprime number because it is at equal distance from previous prime (116881) and next prime (116903).

It is a tau number, because it is divible by the number of its divisors (36).

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, 517 + ... + 707.

It is an arithmetic number, because the mean of its divisors is an integer number (8736).

2¹¹⁶⁸⁹² is an apocalyptic number.

116892 is a gapful number since it is divisible by the number (12) 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 116892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248).

116892 is an abundant number, since it is smaller than the sum of its proper divisors (197604).

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

116892 is a wasteful number, since it uses less digits than its factorization.

116892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 213 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 116892 is about 341.8947206378. The cubic root of 116892 is about 48.8946786838.

It can be divided in two parts, 11 and 6892, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 116892 in words is "one hundred sixteen thousand, eight hundred ninety-two".