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9003997 is a prime number
BaseRepresentation
bin100010010110…
…001111011101
3121221110011101
4202112033131
54301111442
6520553101
7136350502
oct42261735
917843141
109003997
11509a922
123022791
131b33412
1412a54a9
15bcccb7
hex8963dd

9003997 has 2 divisors, whose sum is σ = 9003998. Its totient is φ = 9003996.

The previous prime is 9003977. The next prime is 9004013. The reversal of 9003997 is 7993009.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8608356 + 395641 = 2934^2 + 629^2 .

It is a cyclic number.

It is not a de Polignac number, because 9003997 - 215 = 8971229 is a prime.

9003997 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9003977) 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, 4501998 + 4501999.

It is an arithmetic number, because the mean of its divisors is an integer number (4501999).

Almost surely, 29003997 is an apocalyptic number.

It is an amenable number.

9003997 is a deficient number, since it is larger than the sum of its proper divisors (1).

9003997 is an equidigital number, since it uses as much as digits as its factorization.

9003997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15309, while the sum is 37.

The square root of 9003997 is about 3000.6660927201. Note that the first 3 decimals coincide. The cubic root of 9003997 is about 208.0391706924.

It can be divided in two parts, 9003 and 997, that added together give a 4-th power (10000 = 104).

The spelling of 9003997 in words is "nine million, three thousand, nine hundred ninety-seven".