• 590 can be written using four 4's:

590 has 8 divisors (see below), whose sum is σ = 1080. Its totient is φ = 232.

The previous prime is 587. The next prime is 593. The reversal of 590 is 95.

590 = 13^{2} + 14^{2} + 15^{2}.

590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (587) and next prime (593).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Curzon number.

It is a plaindrome in base 8 and base 16.

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20 + ... + 39.

It is an arithmetic number, because the mean of its divisors is an integer number (135).

590 is the 20-th pentagonal number.

590 is a deficient number, since it is larger than the sum of its proper divisors (490).

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

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

The sum of its prime factors is 66.

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 590 is about 24.2899156030. The cubic root of 590 is about 8.3872065265.

Subtracting from 590 its sum of digits (14), we obtain a square (576 = 24^{2}).

Subtracting from 590 its product of nonzero digits (45), we obtain a palindrome (545).

The spelling of 590 in words is "five hundred ninety", and thus it is an aban number and an oban number.

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