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5393 is a prime number
BaseRepresentation
bin1010100010001
321101202
41110101
5133033
640545
721503
oct12421
97352
105393
114063
123155
1325bb
141d73
1518e8
hex1511

5393 has 2 divisors, whose sum is σ = 5394. Its totient is φ = 5392.

The previous prime is 5387. The next prime is 5399. The reversal of 5393 is 3935.

5393 is nontrivially palindromic in base 8.

It is a balanced prime because it is at equal distance from previous prime (5387) and next prime (5399).

It can be written as a sum of positive squares in only one way, i.e., 5329 + 64 = 73^2 + 8^2 .

It is a cyclic number.

It is not a de Polignac number, because 5393 - 212 = 1297 is a prime.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5393.

It is not a weakly prime, because it can be changed into another prime (5399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2696 + 2697.

It is an arithmetic number, because the mean of its divisors is an integer number (2697).

25393 is an apocalyptic number.

It is an amenable number.

5393 is a deficient number, since it is larger than the sum of its proper divisors (1).

5393 is an equidigital number, since it uses as much as digits as its factorization.

5393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 405, while the sum is 20.

The square root of 5393 is about 73.4370478709. The cubic root of 5393 is about 17.5365223645.

The spelling of 5393 in words is "five thousand, three hundred ninety-three".