116292 has 24 divisors (see below), whose sum is σ = 296352. Its totient is φ = 35200.

The previous prime is 116279. The next prime is 116293. The reversal of 116292 is 292611.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 116292.

It is not an unprimeable number, because it can be changed into a prime (116293) by changing a digit.

116292 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 309 + ... + 572.

It is an arithmetic number, because the mean of its divisors is an integer number (12348).

2¹¹⁶²⁹² is an apocalyptic number.

116292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

116292 is an abundant number, since it is smaller than the sum of its proper divisors (180060).

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

116292 is a wasteful number, since it uses less digits than its factorization.

116292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 897 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 116292 is about 341.0161286508. The cubic root of 116292 is about 48.8108772672.

The spelling of 116292 in words is "one hundred sixteen thousand, two hundred ninety-two".