45641 has 2 divisors, whose sum is σ = 45642. Its totient is φ = 45640.

The previous prime is 45631. The next prime is 45659. The reversal of 45641 is 14654.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38416 + 7225 = 196^2 + 85^2 .

It is a cyclic number.

It is not a de Polignac number, because 45641 - 2¹⁰ = 44617 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45641.

It is not a weakly prime, because it can be changed into another prime (45631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22820 + 22821.

It is an arithmetic number, because the mean of its divisors is an integer number (22821).

2⁴⁵⁶⁴¹ is an apocalyptic number.

It is an amenable number.

45641 is a deficient number, since it is larger than the sum of its proper divisors (1).

45641 is an equidigital number, since it uses as much as digits as its factorization.

45641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 480, while the sum is 20.

The square root of 45641 is about 213.6375435171. The cubic root of 45641 is about 35.7370239963.

It can be divided in two parts, 45 and 641, that added together give a palindrome (686).

The spelling of 45641 in words is "forty-five thousand, six hundred forty-one".