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1009993 is a prime number
BaseRepresentation
bin11110110100101001001
31220022110011
43312211021
5224304433
633351521
711404405
oct3664511
91808404
101009993
1162a906
124085a1
1329493a
141c4105
1514e3cd
hexf6949

1009993 has 2 divisors, whose sum is σ = 1009994. Its totient is φ = 1009992.

The previous prime is 1009991. The next prime is 1009997. The reversal of 1009993 is 3999001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 725904 + 284089 = 852^2 + 533^2 .

It is an emirp because it is prime and its reverse (3999001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1009993 - 21 = 1009991 is a prime.

Together with 1009991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1009991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504996 + 504997.

It is an arithmetic number, because the mean of its divisors is an integer number (504997).

21009993 is an apocalyptic number.

It is an amenable number.

1009993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009993 is an equidigital number, since it uses as much as digits as its factorization.

1009993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2187, while the sum is 31.

The square root of 1009993 is about 1004.9840794759. The cubic root of 1009993 is about 100.3319965630.

It can be divided in two parts, 1009 and 993, that added together give a palindrome (2002).

The spelling of 1009993 in words is "one million, nine thousand, nine hundred ninety-three".