112364 has 12 divisors (see below), whose sum is σ = 224784. Its totient is φ = 48144.

The previous prime is 112363. The next prime is 112397. The reversal of 112364 is 463211.

112364 is an admirable number.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (112361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1979 + ... + 2034.

It is an arithmetic number, because the mean of its divisors is an integer number (18732).

2¹¹²³⁶⁴ is an apocalyptic number.

112364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

112364 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

112364 is a wasteful number, since it uses less digits than its factorization.

112364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024 (or 4022 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 112364 is about 335.2073984864. The cubic root of 112364 is about 48.2550085631.

Adding to 112364 its reverse (463211), we get a palindrome (575575).

It can be divided in two parts, 11236 and 4, that multiplied together give a palindrome (44944).

The spelling of 112364 in words is "one hundred twelve thousand, three hundred sixty-four".