415065 has 32 divisors (see below), whose sum is σ = 783360. Its totient is φ = 183744.

The previous prime is 415061. The next prime is 415069. The reversal of 415065 is 560514.

It is a happy number.

415065 is nontrivially palindromic in base 4.

It is an interprime number because it is at equal distance from previous prime (415061) and next prime (415069).

It is not a de Polignac number, because 415065 - 2² = 415061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (415061) 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, 6162 + ... + 6228.

It is an arithmetic number, because the mean of its divisors is an integer number (24480).

2⁴¹⁵⁰⁶⁵ is an apocalyptic number.

It is an amenable number.

415065 is a deficient number, since it is larger than the sum of its proper divisors (368295).

415065 is a wasteful number, since it uses less digits than its factorization.

415065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 415065 is about 644.2553841451. The cubic root of 415065 is about 74.5942533314.

Adding to 415065 its reverse (560514), we get a palindrome (975579).

The spelling of 415065 in words is "four hundred fifteen thousand, sixty-five".