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96013 is a prime number
BaseRepresentation
bin10111011100001101
311212201001
4113130031
511033023
62020301
7546631
oct273415
9155631
1096013
1166155
1247691
1334918
1426dc1
151d6ad
hex1770d

96013 has 2 divisors, whose sum is σ = 96014. Its totient is φ = 96012.

The previous prime is 96001. The next prime is 96017. The reversal of 96013 is 31069.

It is the 127-th star number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94249 + 1764 = 307^2 + 42^2 .

It is an emirp because it is prime and its reverse (31069) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-96013 is a prime.

96013 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (96017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48006 + 48007.

It is an arithmetic number, because the mean of its divisors is an integer number (48007).

296013 is an apocalyptic number.

It is an amenable number.

96013 is a deficient number, since it is larger than the sum of its proper divisors (1).

96013 is an equidigital number, since it uses as much as digits as its factorization.

96013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 96013 is about 309.8596456462. The cubic root of 96013 is about 45.7906364540.

It can be divided in two parts, 9601 and 3, that added together give a square (9604 = 982).

The spelling of 96013 in words is "ninety-six thousand, thirteen".