461567 has 8 divisors (see below), whose sum is σ = 514800. Its totient is φ = 411264.

The previous prime is 461561. The next prime is 461569. The reversal of 461567 is 765164.

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

It is not a de Polignac number, because 461567 - 2¹⁰ = 460543 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 392 + ... + 1037.

It is an arithmetic number, because the mean of its divisors is an integer number (64350).

2⁴⁶¹⁵⁶⁷ is an apocalyptic number.

461567 is a deficient number, since it is larger than the sum of its proper divisors (53233).

461567 is a wasteful number, since it uses less digits than its factorization.

461567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465.

The product of its digits is 5040, while the sum is 29.

The square root of 461567 is about 679.3872239011. The cubic root of 461567 is about 77.2819817793.

The spelling of 461567 in words is "four hundred sixty-one thousand, five hundred sixty-seven".