465165 has 12 divisors (see below), whose sum is σ = 806364. Its totient is φ = 248064.

The previous prime is 465163. The next prime is 465167. The reversal of 465165 is 561564.

465165 = T₃₀₀ + T₃₀₁ + ... + T₃₀₉.

It is a happy number.

465165 is a `hidden beast` number, since 4 + 651 + 6 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (465163) and next prime (465167).

It can be written as a sum of positive squares in 2 ways, for example, as 79524 + 385641 = 282^2 + 621^2 .

It is not a de Polignac number, because 465165 - 2¹ = 465163 is a prime.

465165 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5124 + ... + 5213.

It is an arithmetic number, because the mean of its divisors is an integer number (67197).

2⁴⁶⁵¹⁶⁵ is an apocalyptic number.

465165 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

465165 is a deficient number, since it is larger than the sum of its proper divisors (341199).

465165 is a wasteful number, since it uses less digits than its factorization.

465165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10348 (or 10345 counting only the distinct ones).

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

The square root of 465165 is about 682.0300579886. The cubic root of 465165 is about 77.4822713523.

It can be divided in two parts, 465 and 165, that added together give a triangular number (630 = T₃₅).

The spelling of 465165 in words is "four hundred sixty-five thousand, one hundred sixty-five".