46561 has 4 divisors (see below), whose sum is σ = 47124. Its totient is φ = 46000.

The previous prime is 46559. The next prime is 46567. The reversal of 46561 is 16564.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 32400 + 14161 = 180^2 + 119^2 .

It is a cyclic number.

It is not a de Polignac number, because 46561 - 2¹ = 46559 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46567) 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, 130 + ... + 331.

It is an arithmetic number, because the mean of its divisors is an integer number (11781).

2⁴⁶⁵⁶¹ is an apocalyptic number.

46561 is the 97-th centered decagonal number.

It is an amenable number.

46561 is a deficient number, since it is larger than the sum of its proper divisors (563).

46561 is a wasteful number, since it uses less digits than its factorization.

46561 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 46561 is about 215.7799805357. The cubic root of 46561 is about 35.9755492407.

It can be divided in two parts, 4 and 6561, that multiplied together give a square (26244 = 162²).

The spelling of 46561 in words is "forty-six thousand, five hundred sixty-one".