Search a number
-
+
83067137 is a prime number
BaseRepresentation
bin1001111001110…
…00000100000001
312210022020200122
410330320010001
5132231122022
612124230025
72026026146
oct474700401
9183266618
1083067137
114298662a
122399b315
131429546a
14b0643cd
15745c742
hex4f38101

83067137 has 2 divisors, whose sum is σ = 83067138. Its totient is φ = 83067136.

The previous prime is 83067133. The next prime is 83067199. The reversal of 83067137 is 73176038.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80982001 + 2085136 = 8999^2 + 1444^2 .

It is a cyclic number.

It is not a de Polignac number, because 83067137 - 22 = 83067133 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 83067097 and 83067106.

It is not a weakly prime, because it can be changed into another prime (83067133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41533568 + 41533569.

It is an arithmetic number, because the mean of its divisors is an integer number (41533569).

Almost surely, 283067137 is an apocalyptic number.

It is an amenable number.

83067137 is a deficient number, since it is larger than the sum of its proper divisors (1).

83067137 is an equidigital number, since it uses as much as digits as its factorization.

83067137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 83067137 is about 9114.1174559032. The cubic root of 83067137 is about 436.3246484356.

The spelling of 83067137 in words is "eighty-three million, sixty-seven thousand, one hundred thirty-seven".