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71993 is a prime number
BaseRepresentation
bin10001100100111001
310122202102
4101210321
54300433
61313145
7416615
oct214471
9118672
1071993
114a0a9
12357b5
13269cc
141c345
15164e8
hex11939

71993 has 2 divisors, whose sum is σ = 71994. Its totient is φ = 71992.

The previous prime is 71987. The next prime is 71999. The reversal of 71993 is 39917.

It is a balanced prime because it is at equal distance from previous prime (71987) and next prime (71999).

It can be written as a sum of positive squares in only one way, i.e., 71824 + 169 = 268^2 + 13^2 .

It is a cyclic number.

It is not a de Polignac number, because 71993 - 210 = 70969 is a prime.

It is a plaindrome in base 13.

It is not a weakly prime, because it can be changed into another prime (71999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35996 + 35997.

It is an arithmetic number, because the mean of its divisors is an integer number (35997).

271993 is an apocalyptic number.

It is an amenable number.

71993 is a deficient number, since it is larger than the sum of its proper divisors (1).

71993 is an equidigital number, since it uses as much as digits as its factorization.

71993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1701, while the sum is 29.

The square root of 71993 is about 268.3151132531. The cubic root of 71993 is about 41.6003282149.

The spelling of 71993 in words is "seventy-one thousand, nine hundred ninety-three".