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1072009 is a prime number
BaseRepresentation
bin100000101101110001001
32000110112001
410011232021
5233301014
634551001
712053251
oct4055611
92013461
101072009
11672464
12438461
132b6c33
141dc961
15162974
hex105b89

1072009 has 2 divisors, whose sum is σ = 1072010. Its totient is φ = 1072008.

The previous prime is 1071991. The next prime is 1072039. The reversal of 1072009 is 9002701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1071225 + 784 = 1035^2 + 28^2 .

It is an emirp because it is prime and its reverse (9002701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1072009 - 25 = 1071977 is a prime.

It is a super-2 number, since 2×10720092 = 2298406592162, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1072039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 536004 + 536005.

It is an arithmetic number, because the mean of its divisors is an integer number (536005).

21072009 is an apocalyptic number.

It is an amenable number.

1072009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1072009 is an equidigital number, since it uses as much as digits as its factorization.

1072009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 1072009 is about 1035.3786746886. The cubic root of 1072009 is about 102.3448853496.

It can be divided in two parts, 107 and 2009, that added together give a square (2116 = 462).

The spelling of 1072009 in words is "one million, seventy-two thousand, nine".