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5365 = 52937
BaseRepresentation
bin1010011110101
321100201
41103311
5132430
640501
721433
oct12365
97321
105365
114038
123131
132599
141d53
1518ca
hex14f5

5365 has 8 divisors (see below), whose sum is σ = 6840. Its totient is φ = 4032.

The previous prime is 5351. The next prime is 5381. The reversal of 5365 is 5635.

It can be written as a sum of positive squares in 4 ways, for example, as 1521 + 3844 = 39^2 + 62^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 5365 - 25 = 5333 is a prime.

5365 is an undulating number in base 12.

It is a plaindrome in base 13.

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127 + ... + 163.

It is an arithmetic number, because the mean of its divisors is an integer number (855).

25365 is an apocalyptic number.

5365 is the 37-th decagonal number.

It is an amenable number.

5365 is a deficient number, since it is larger than the sum of its proper divisors (1475).

5365 is a wasteful number, since it uses less digits than its factorization.

5365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71.

The product of its digits is 450, while the sum is 19.

The square root of 5365 is about 73.2461603089. The cubic root of 5365 is about 17.5061203083.

The spelling of 5365 in words is "five thousand, three hundred sixty-five".

Divisors: 1 5 29 37 145 185 1073 5365