461005 has 8 divisors (see below), whose sum is σ = 558072. Its totient is φ = 365568.

The previous prime is 460991. The next prime is 461009. The reversal of 461005 is 500164.

It can be written as a sum of positive squares in 4 ways, for example, as 34596 + 426409 = 186^2 + 653^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 461005 - 2⁵ = 460973 is a prime.

It is a super-2 number, since 2×461005² = 425051220050, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 461005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 349 + ... + 1021.

It is an arithmetic number, because the mean of its divisors is an integer number (69759).

2⁴⁶¹⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

461005 is a deficient number, since it is larger than the sum of its proper divisors (97067).

461005 is a wasteful number, since it uses less digits than its factorization.

461005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 461005 is about 678.9734899096. The cubic root of 461005 is about 77.2506030821.

Adding to 461005 its reverse (500164), we get a palindrome (961169).

It can be divided in two parts, 4 and 61005, that added together give a square (61009 = 247²).

The spelling of 461005 in words is "four hundred sixty-one thousand, five".