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77983 is a prime number
BaseRepresentation
bin10011000010011111
310221222021
4103002133
54443413
61401011
7443233
oct230237
9127867
1077983
1153654
1239167
1329659
14205c3
151818d
hex1309f

77983 has 2 divisors, whose sum is σ = 77984. Its totient is φ = 77982.

The previous prime is 77977. The next prime is 77999. The reversal of 77983 is 38977.

It is a weak prime.

It is an emirp because it is prime and its reverse (38977) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77983 - 25 = 77951 is a prime.

77983 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38991 + 38992.

It is an arithmetic number, because the mean of its divisors is an integer number (38992).

277983 is an apocalyptic number.

77983 is a deficient number, since it is larger than the sum of its proper divisors (1).

77983 is an equidigital number, since it uses as much as digits as its factorization.

77983 is an odious number, because the sum of its binary digits is odd.

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

The square root of 77983 is about 279.2543643347. The cubic root of 77983 is about 42.7234825232.

The spelling of 77983 in words is "seventy-seven thousand, nine hundred eighty-three".