114192 has 60 divisors (see below), whose sum is σ = 349804. Its totient is φ = 34560.

The previous prime is 114167. The next prime is 114193. The reversal of 114192 is 291411.

114192 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 9216 + 104976 = 96^2 + 324^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114193) by changing a digit.

114192 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1842 + ... + 1902.

2¹¹⁴¹⁹² is an apocalyptic number.

114192 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 114192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174902).

114192 is an abundant number, since it is smaller than the sum of its proper divisors (235612).

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

114192 is a wasteful number, since it uses less digits than its factorization.

114192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 79 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 114192 is about 337.9230681679. The cubic root of 114192 is about 48.5152819664.

The spelling of 114192 in words is "one hundred fourteen thousand, one hundred ninety-two".