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2985209 is a prime number
BaseRepresentation
bin1011011000110011111001
312121122221022
423120303321
51231011314
6143552225
734242143
oct13306371
95548838
102985209
111759917
12bbb675
138069c6
14579c93
153de78e
hex2d8cf9

2985209 has 2 divisors, whose sum is σ = 2985210. Its totient is φ = 2985208.

The previous prime is 2985187. The next prime is 2985211. The reversal of 2985209 is 9025892.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1836025 + 1149184 = 1355^2 + 1072^2 .

It is a cyclic number.

It is not a de Polignac number, because 2985209 - 28 = 2984953 is a prime.

It is a super-2 number, since 2×29852092 = 17822945547362, which contains 22 as substring.

Together with 2985211, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (2985259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1492604 + 1492605.

It is an arithmetic number, because the mean of its divisors is an integer number (1492605).

22985209 is an apocalyptic number.

It is an amenable number.

2985209 is a deficient number, since it is larger than the sum of its proper divisors (1).

2985209 is an equidigital number, since it uses as much as digits as its factorization.

2985209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 2985209 is about 1727.7757377623. The cubic root of 2985209 is about 143.9875407173.

The spelling of 2985209 in words is "two million, nine hundred eighty-five thousand, two hundred nine".