415665 has 16 divisors (see below), whose sum is σ = 739200. Its totient is φ = 221616.

The previous prime is 415661. The next prime is 415669. The reversal of 415665 is 566514.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (415661) and next prime (415669).

It is not a de Polignac number, because 415665 - 2² = 415661 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415661) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1405 + ... + 1674.

It is an arithmetic number, because the mean of its divisors is an integer number (46200).

2⁴¹⁵⁶⁶⁵ is an apocalyptic number.

415665 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

415665 is a deficient number, since it is larger than the sum of its proper divisors (323535).

415665 is a wasteful number, since it uses less digits than its factorization.

415665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093 (or 3087 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 415665 is about 644.7208698344. The cubic root of 415665 is about 74.6301794339.

The spelling of 415665 in words is "four hundred fifteen thousand, six hundred sixty-five".