461382165 has 24 divisors (see below), whose sum is σ = 800488728. Its totient is φ = 245836800.

The previous prime is 461382151. The next prime is 461382203. The reversal of 461382165 is 561283164.

It is a happy number.

461382165 is a `hidden beast` number, since 461 + 38 + 2 + 165 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12916836 + 448465329 = 3594^2 + 21177^2 .

It is not a de Polignac number, because 461382165 - 2⁷ = 461382037 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49777 + ... + 58313.

It is an arithmetic number, because the mean of its divisors is an integer number (33353697).

Almost surely, 2^461382165 is an apocalyptic number.

461382165 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

461382165 is a deficient number, since it is larger than the sum of its proper divisors (339106563).

461382165 is a wasteful number, since it uses less digits than its factorization.

461382165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9749 (or 9746 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 461382165 is about 21479.8083092005. The cubic root of 461382165 is about 772.7166451784.

Subtracting 461382165 from its reverse (561283164), we obtain a palindrome (99900999).

The spelling of 461382165 in words is "four hundred sixty-one million, three hundred eighty-two thousand, one hundred sixty-five".