1106385 has 32 divisors (see below), whose sum is σ = 2080512. Its totient is φ = 491520.

The previous prime is 1106381. The next prime is 1106401. The reversal of 1106385 is 5836011.

It is not a de Polignac number, because 1106385 - 2² = 1106381 is a prime.

1106385 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1106381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4177 + ... + 4433.

It is an arithmetic number, because the mean of its divisors is an integer number (65016).

2^1106385 is an apocalyptic number.

1106385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1106385 is a deficient number, since it is larger than the sum of its proper divisors (974127).

1106385 is a wasteful number, since it uses less digits than its factorization.

1106385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1106385 is about 1051.8483731033. The cubic root of 1106385 is about 103.4273569004.

The spelling of 1106385 in words is "one million, one hundred six thousand, three hundred eighty-five".