45587 has 2 divisors, whose sum is σ = 45588. Its totient is φ = 45586.

The previous prime is 45569. The next prime is 45589. The reversal of 45587 is 78554.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 45587 - 2⁶ = 45523 is a prime.

Together with 45589, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 12 and base 13.

It is not a weakly prime, because it can be changed into another prime (45589) 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, 22793 + 22794.

It is an arithmetic number, because the mean of its divisors is an integer number (22794).

2⁴⁵⁵⁸⁷ is an apocalyptic number.

45587 is a deficient number, since it is larger than the sum of its proper divisors (1).

45587 is an equidigital number, since it uses as much as digits as its factorization.

45587 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5600, while the sum is 29.

The square root of 45587 is about 213.5111238320. The cubic root of 45587 is about 35.7229243865.

The spelling of 45587 in words is "forty-five thousand, five hundred eighty-seven".