614112 has 24 divisors (see below), whose sum is σ = 1612296. Its totient is φ = 204672.

The previous prime is 614101. The next prime is 614113. The reversal of 614112 is 211416.

614112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

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 an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 614091 and 614100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (614113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3103 + ... + 3294.

It is an arithmetic number, because the mean of its divisors is an integer number (67179).

2⁶¹⁴¹¹² is an apocalyptic number.

It is an amenable number.

614112 is an abundant number, since it is smaller than the sum of its proper divisors (998184).

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

614112 is a wasteful number, since it uses less digits than its factorization.

614112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6410 (or 6402 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 614112 is about 783.6529844261. The cubic root of 614112 is about 84.9994002264. Note that the first 3 decimals are identical.

Adding to 614112 its reverse (211416), we get a palindrome (825528).

The spelling of 614112 in words is "six hundred fourteen thousand, one hundred twelve".