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5537 = 72113
BaseRepresentation
bin1010110100001
321121002
41112201
5134122
641345
722100
oct12641
97532
105537
114184
123255
13269c
142037
151992
hex15a1

5537 has 6 divisors (see below), whose sum is σ = 6498. Its totient is φ = 4704.

The previous prime is 5531. The next prime is 5557. The reversal of 5537 is 7355.

It can be written as a sum of positive squares in only one way, i.e., 3136 + 2401 = 56^2 + 49^2 .

It is not a de Polignac number, because 5537 - 24 = 5521 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a nialpdrome in base 7 and base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5537.

It is not an unprimeable number, because it can be changed into a prime (5531) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8 + ... + 105.

It is an arithmetic number, because the mean of its divisors is an integer number (1083).

It is an amenable number.

5537 is a deficient number, since it is larger than the sum of its proper divisors (961).

5537 is a wasteful number, since it uses less digits than its factorization.

5537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 120 counting only the distinct ones).

The product of its digits is 525, while the sum is 20.

The square root of 5537 is about 74.4110206891. The cubic root of 5537 is about 17.6912359391.

The spelling of 5537 in words is "five thousand, five hundred thirty-seven".

Divisors: 1 7 49 113 791 5537