Search a number
-
+
83197993 is a prime number
BaseRepresentation
bin1001111010110…
…00000000101001
312210112220012011
410331120000221
5132244313433
612131115521
72030112514
oct475300051
9183486164
1083197993
1142a6597a
1223a42ba1
131430cba8
14b099d7b
1574863cd
hex4f58029

83197993 has 2 divisors, whose sum is σ = 83197994. Its totient is φ = 83197992.

The previous prime is 83197973. The next prime is 83197999. The reversal of 83197993 is 39979138.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82301184 + 896809 = 9072^2 + 947^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-83197993 is a prime.

It is not a weakly prime, because it can be changed into another prime (83197999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41598996 + 41598997.

It is an arithmetic number, because the mean of its divisors is an integer number (41598997).

Almost surely, 283197993 is an apocalyptic number.

It is an amenable number.

83197993 is a deficient number, since it is larger than the sum of its proper divisors (1).

83197993 is an equidigital number, since it uses as much as digits as its factorization.

83197993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 367416, while the sum is 49.

The square root of 83197993 is about 9121.2933841643. The cubic root of 83197993 is about 436.5536428989.

The spelling of 83197993 in words is "eighty-three million, one hundred ninety-seven thousand, nine hundred ninety-three".