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89393 is a prime number
BaseRepresentation
bin10101110100110001
311112121212
4111310301
510330033
61525505
7521423
oct256461
9145555
1089393
1161187
1243895
13318c5
1424813
151b748
hex15d31

89393 has 2 divisors, whose sum is σ = 89394. Its totient is φ = 89392.

The previous prime is 89387. The next prime is 89399. The reversal of 89393 is 39398.

It is a balanced prime because it is at equal distance from previous prime (89387) and next prime (89399).

It can be written as a sum of positive squares in only one way, i.e., 61504 + 27889 = 248^2 + 167^2 .

It is a cyclic number.

It is not a de Polignac number, because 89393 - 26 = 89329 is a prime.

It is a super-2 number, since 2×893932 = 15982216898, which contains 22 as substring.

It is a plaindrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 89393.

It is not a weakly prime, because it can be changed into another prime (89399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 44696 + 44697.

It is an arithmetic number, because the mean of its divisors is an integer number (44697).

289393 is an apocalyptic number.

It is an amenable number.

89393 is a deficient number, since it is larger than the sum of its proper divisors (1).

89393 is an equidigital number, since it uses as much as digits as its factorization.

89393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5832, while the sum is 32.

The square root of 89393 is about 298.9866217743. The cubic root of 89393 is about 44.7130714974.

The spelling of 89393 in words is "eighty-nine thousand, three hundred ninety-three".