• 45852 = 21022225 is the smallest square that contains exactly five digits '2'.
4585 has 8 divisors (see below), whose sum is σ = 6336. Its totient is φ = 3120.
The previous prime is 4583. The next prime is 4591. The reversal of 4585 is 5854.
It is a happy number.
It is a sphenic number, since it is the product of 3 distinct primes.
It is not a de Polignac number, because 4585 - 21 = 4583 is a prime.
It is an alternating number because its digits alternate between even and odd.
It is a Duffinian number.
It is a plaindrome in base 11 and base 15.
It is not an unprimeable number, because it can be changed into a prime (4583) 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 in 7 ways as a sum of consecutive naturals, for example, 31 + ... + 100.
It is an arithmetic number, because the mean of its divisors is an integer number (792).
24585 is an apocalyptic number.
It is an amenable number.
4585 is a deficient number, since it is larger than the sum of its proper divisors (1751).
4585 is a wasteful number, since it uses less digits than its factorization.
4585 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 143.
The product of its digits is 800, while the sum is 22.
The square root of 4585 is about 67.7126280689. The cubic root of 4585 is about 16.6129380916.
The spelling of 4585 in words is "four thousand, five hundred eighty-five".
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