56461 has 4 divisors (see below), whose sum is σ = 57024. Its totient is φ = 55900.

The previous prime is 56453. The next prime is 56467. The reversal of 56461 is 16465.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 56461 - 2³ = 56453 is a prime.

It is a Duffinian number.

56461 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56467) 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, 85 + ... + 346.

It is an arithmetic number, because the mean of its divisors is an integer number (14256).

2⁵⁶⁴⁶¹ is an apocalyptic number.

It is an amenable number.

56461 is a deficient number, since it is larger than the sum of its proper divisors (563).

56461 is a wasteful number, since it uses less digits than its factorization.

56461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562.

The product of its digits is 720, while the sum is 22.

The square root of 56461 is about 237.6152352018. The cubic root of 56461 is about 38.3633203712.

It can be divided in two parts, 564 and 61, that added together give a 4-th power (625 = 5⁴).

The spelling of 56461 in words is "fifty-six thousand, four hundred sixty-one".