1115205 has 64 divisors (see below), whose sum is σ = 2365440. Its totient is φ = 435456.

The previous prime is 1115189. The next prime is 1115207. The reversal of 1115205 is 5025111.

1115205 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 1115205 - 2⁴ = 1115189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

1115205 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1115207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25914 + ... + 25956.

It is an arithmetic number, because the mean of its divisors is an integer number (36960).

2^1115205 is an apocalyptic number.

1115205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1115205 is an abundant number, since it is smaller than the sum of its proper divisors (1250235).

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

1115205 is a wasteful number, since it uses less digits than its factorization.

1115205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90.

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 1115205 is about 1056.0326699492. The cubic root of 1115205 is about 103.7014675995.

1115205 divided by its sum of digits (15) gives a palindrome (74347).

The spelling of 1115205 in words is "one million, one hundred fifteen thousand, two hundred five".