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5337 = 32593
BaseRepresentation
bin1010011011001
321022200
41103121
5132322
640413
721363
oct12331
97280
105337
114012
123109
132577
141d33
1518ac
hex14d9

5337 has 6 divisors (see below), whose sum is σ = 7722. Its totient is φ = 3552.

The previous prime is 5333. The next prime is 5347. The reversal of 5337 is 7335.

It can be written as a sum of positive squares in only one way, i.e., 4761 + 576 = 69^2 + 24^2 .

It is not a de Polignac number, because 5337 - 22 = 5333 is a prime.

It is a plaindrome in base 13 and base 15.

It is not an unprimeable number, because it can be changed into a prime (5333) 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 5 ways as a sum of consecutive naturals, for example, 288 + ... + 305.

It is an arithmetic number, because the mean of its divisors is an integer number (1287).

It is an amenable number.

5337 is a deficient number, since it is larger than the sum of its proper divisors (2385).

5337 is a wasteful number, since it uses less digits than its factorization.

5337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 596 counting only the distinct ones).

The product of its digits is 315, while the sum is 18.

The square root of 5337 is about 73.0547739713. The cubic root of 5337 is about 17.4756122880.

The spelling of 5337 in words is "five thousand, three hundred thirty-seven".

Divisors: 1 3 9 593 1779 5337