1415115 has 48 divisors (see below), whose sum is σ = 2751840. Its totient is φ = 668160.

The previous prime is 1415093. The next prime is 1415137. The reversal of 1415115 is 5115141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1415093) and next prime (1415137).

It is not a de Polignac number, because 1415115 - 2⁵ = 1415083 is a prime.

It is a cake number, because a cake can be divided into 1415115 parts by 204 planar cuts.

1415115 is a lucky number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23956 + ... + 24014.

It is an arithmetic number, because the mean of its divisors is an integer number (57330).

2^1415115 is an apocalyptic number.

1415115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1415115 is a deficient number, since it is larger than the sum of its proper divisors (1336725).

1415115 is a wasteful number, since it uses less digits than its factorization.

1415115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 121 counting only the distinct ones).

The product of its digits is 100, while the sum is 18.

The square root of 1415115 is about 1189.5860624604. The cubic root of 1415115 is about 112.2700488161.

It can be divided in two parts, 14 and 15115, that added together give a square (15129 = 123²).

The spelling of 1415115 in words is "one million, four hundred fifteen thousand, one hundred fifteen".