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77893 is a prime number
BaseRepresentation
bin10011000001000101
310221211221
4103001011
54443033
61400341
7443044
oct230105
9127757
1077893
1153582
12390b1
13295ba
142055b
151812d
hex13045

77893 has 2 divisors, whose sum is σ = 77894. Its totient is φ = 77892.

The previous prime is 77867. The next prime is 77899. The reversal of 77893 is 39877.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74529 + 3364 = 273^2 + 58^2 .

It is an emirp because it is prime and its reverse (39877) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-77893 is a prime.

77893 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77899) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38946 + 38947.

It is an arithmetic number, because the mean of its divisors is an integer number (38947).

277893 is an apocalyptic number.

It is an amenable number.

77893 is a deficient number, since it is larger than the sum of its proper divisors (1).

77893 is an equidigital number, since it uses as much as digits as its factorization.

77893 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10584, while the sum is 34.

The square root of 77893 is about 279.0931744060. The cubic root of 77893 is about 42.7070405055.

The spelling of 77893 in words is "seventy-seven thousand, eight hundred ninety-three".