114336 has 36 divisors (see below), whose sum is σ = 325962. Its totient is φ = 38016.

The previous prime is 114329. The next prime is 114343. The reversal of 114336 is 633411.

It is an interprime number because it is at equal distance from previous prime (114329) and next prime (114343).

It can be written as a sum of positive squares in only one way, i.e., 90000 + 24336 = 300^2 + 156^2 .

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

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.

It is an unprimeable number.

114336 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 5 ways as a sum of consecutive naturals, for example, 90 + ... + 486.

2¹¹⁴³³⁶ is an apocalyptic number.

114336 is a gapful number since it is divisible by the number (16) 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 114336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162981).

114336 is an abundant number, since it is smaller than the sum of its proper divisors (211626).

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

114336 is a wasteful number, since it uses less digits than its factorization.

114336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 402 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 114336 is about 338.1360672865. The cubic root of 114336 is about 48.5356665411.

Adding to 114336 its reverse (633411), we get a palindrome (747747).

The spelling of 114336 in words is "one hundred fourteen thousand, three hundred thirty-six".