191385 has 12 divisors (see below), whose sum is σ = 331812. Its totient is φ = 102048.

The previous prime is 191353. The next prime is 191413. The reversal of 191385 is 583191.

It can be written as a sum of positive squares in 2 ways, for example, as 41616 + 149769 = 204^2 + 387^2 .

It is not a de Polignac number, because 191385 - 2⁵ = 191353 is a prime.

191385 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 191385.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2082 + ... + 2171.

It is an arithmetic number, because the mean of its divisors is an integer number (27651).

2¹⁹¹³⁸⁵ is an apocalyptic number.

191385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

191385 is a deficient number, since it is larger than the sum of its proper divisors (140427).

191385 is a wasteful number, since it uses less digits than its factorization.

191385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264 (or 4261 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 191385 is about 437.4757136116. The cubic root of 191385 is about 57.6283208530.

It can be divided in two parts, 191 and 385, that added together give a square (576 = 24²).

The spelling of 191385 in words is "one hundred ninety-one thousand, three hundred eighty-five".