412165 has 16 divisors (see below), whose sum is σ = 565488. Its totient is φ = 285696.

The previous prime is 412157. The next prime is 412171. The reversal of 412165 is 561214.

It is a Cunningham number, because it is equal to 642²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 3844 + 408321 = 62^2 + 639^2 .

It is a cyclic number.

It is not a de Polignac number, because 412165 - 2³ = 412157 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 919 + ... + 1291.

It is an arithmetic number, because the mean of its divisors is an integer number (35343).

2⁴¹²¹⁶⁵ is an apocalyptic number.

It is an amenable number.

412165 is a deficient number, since it is larger than the sum of its proper divisors (153323).

412165 is a wasteful number, since it uses less digits than its factorization.

412165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408.

The product of its digits is 240, while the sum is 19.

The square root of 412165 is about 642.0007788157. Note that the first 3 decimals coincide. The cubic root of 412165 is about 74.4201206806.

Adding to 412165 its reverse (561214), we get a palindrome (973379).

It can be divided in two parts, 4121 and 65, that added together give a triangular number (4186 = T₉₁).

The spelling of 412165 in words is "four hundred twelve thousand, one hundred sixty-five".