461617 has 4 divisors (see below), whose sum is σ = 497140. Its totient is φ = 426096.

The previous prime is 461609. The next prime is 461627. The reversal of 461617 is 716164.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 57121 + 404496 = 239^2 + 636^2 .

It is a cyclic number.

It is not a de Polignac number, because 461617 - 2³ = 461609 is a prime.

It is a Duffinian number.

461617 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 461591 and 461600.

It is not an unprimeable number, because it can be changed into a prime (461627) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17742 + ... + 17767.

It is an arithmetic number, because the mean of its divisors is an integer number (124285).

2⁴⁶¹⁶¹⁷ is an apocalyptic number.

It is an amenable number.

461617 is a deficient number, since it is larger than the sum of its proper divisors (35523).

461617 is a wasteful number, since it uses less digits than its factorization.

461617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35522.

The product of its digits is 1008, while the sum is 25.

The square root of 461617 is about 679.4240207705. The cubic root of 461617 is about 77.2847722442.

The spelling of 461617 in words is "four hundred sixty-one thousand, six hundred seventeen".