116712 has 24 divisors (see below), whose sum is σ = 316290. Its totient is φ = 38880.

The previous prime is 116707. The next prime is 116719. The reversal of 116712 is 217611.

It can be written as a sum of positive squares in only one way, i.e., 86436 + 30276 = 294^2 + 174^2 .

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

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

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (116719) by changing a digit.

116712 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, 739 + ... + 882.

2¹¹⁶⁷¹² is an apocalyptic number.

116712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

116712 is an abundant number, since it is smaller than the sum of its proper divisors (199578).

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

116712 is a wasteful number, since it uses less digits than its factorization.

116712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1626 counting only the distinct ones).

The product of its digits is 84, while the sum is 18.

The square root of 116712 is about 341.6313802917. The cubic root of 116712 is about 48.8695684294.

It can be divided in two parts, 116 and 712, that added together give a palindrome (828).

The spelling of 116712 in words is "one hundred sixteen thousand, seven hundred twelve".