4591 has 2 divisors, whose sum is σ = 4592. Its totient is φ = 4590.

The previous prime is 4583. The next prime is 4597. The reversal of 4591 is 1954.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 4591 - 2³ = 4583 is a prime.

It is a Chen prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4597) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2295 + 2296.

It is an arithmetic number, because the mean of its divisors is an integer number (2296).

2⁴⁵⁹¹ is an apocalyptic number.

4591 is a deficient number, since it is larger than the sum of its proper divisors (1).

4591 is an equidigital number, since it uses as much as digits as its factorization.

4591 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 180, while the sum is 19.

The square root of 4591 is about 67.7569184659. The cubic root of 4591 is about 16.6201815799.

It can be divided in two parts, 45 and 91, that multiplied together give a triangular number (4095 = T₉₀).

The spelling of 4591 in words is "four thousand, five hundred ninety-one".