Search a number
-
+
9006971 is a prime number
BaseRepresentation
bin100010010110…
…111101111011
3121221121020112
4202112331323
54301210341
6521014535
7136362251
oct42267573
917847215
109006971
1150a2086
12302444b
131b3488c
1412a65d1
15bcdaeb
hex896f7b

9006971 has 2 divisors, whose sum is σ = 9006972. Its totient is φ = 9006970.

The previous prime is 9006953. The next prime is 9006973. The reversal of 9006971 is 1796009.

It is a strong prime.

It is an emirp because it is prime and its reverse (1796009) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9006971 - 210 = 9005947 is a prime.

It is a super-2 number, since 2×90069712 = 162251053189682, which contains 22 as substring.

Together with 9006973, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (9006973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4503485 + 4503486.

It is an arithmetic number, because the mean of its divisors is an integer number (4503486).

Almost surely, 29006971 is an apocalyptic number.

9006971 is a deficient number, since it is larger than the sum of its proper divisors (1).

9006971 is an equidigital number, since it uses as much as digits as its factorization.

9006971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 9006971 is about 3001.1616084443. The cubic root of 9006971 is about 208.0620731281.

The spelling of 9006971 in words is "nine million, six thousand, nine hundred seventy-one".