191712 has 24 divisors (see below), whose sum is σ = 503496. Its totient is φ = 63872.

The previous prime is 191707. The next prime is 191717. The reversal of 191712 is 217191.

191712 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (191707) and next prime (191717).

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

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191717) by changing a digit.

191712 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 3 ways as a sum of consecutive naturals, for example, 903 + ... + 1094.

It is an arithmetic number, because the mean of its divisors is an integer number (20979).

2¹⁹¹⁷¹² is an apocalyptic number.

191712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

191712 is an abundant number, since it is smaller than the sum of its proper divisors (311784).

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

191712 is a wasteful number, since it uses less digits than its factorization.

191712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 2002 counting only the distinct ones).

The product of its digits is 126, while the sum is 21.

The square root of 191712 is about 437.8492891395. The cubic root of 191712 is about 57.6611233864.

It can be divided in two parts, 191 and 712, that added together give a triangular number (903 = T₄₂).

The spelling of 191712 in words is "one hundred ninety-one thousand, seven hundred twelve".