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56591 is a prime number
BaseRepresentation
bin1101110100001111
32212121222
431310033
53302331
61113555
7323663
oct156417
985558
1056591
1139577
12288bb
131c9b2
14168a3
1511b7b
hexdd0f

56591 has 2 divisors, whose sum is σ = 56592. Its totient is φ = 56590.

The previous prime is 56569. The next prime is 56597. The reversal of 56591 is 19565.

56591 is nontrivially palindromic in base 9.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 56591 - 26 = 56527 is a prime.

It is a Chen prime.

It is a plaindrome in base 6 and base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 56591.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 56591.

It is not a weakly prime, because it can be changed into another prime (56597) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28295 + 28296.

It is an arithmetic number, because the mean of its divisors is an integer number (28296).

256591 is an apocalyptic number.

56591 is a deficient number, since it is larger than the sum of its proper divisors (1).

56591 is an equidigital number, since it uses as much as digits as its factorization.

56591 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1350, while the sum is 26.

The square root of 56591 is about 237.8886294046. Note that the first 3 decimals coincide. The cubic root of 56591 is about 38.3927413219.

Subtracting from 56591 its sum of digits (26), we obtain a palindrome (56565).

It can be divided in two parts, 565 and 91, that multiplied together give a palindrome (51415).

The spelling of 56591 in words is "fifty-six thousand, five hundred ninety-one".