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9967987 is a prime number
BaseRepresentation
bin100110000001…
…100101110011
3200202102111201
4212001211303
510022433422
6553352031
7150504121
oct46014563
920672451
109967987
115699107
123408617
1320b0123
141476911
15d1d727
hex981973

9967987 has 2 divisors, whose sum is σ = 9967988. Its totient is φ = 9967986.

The previous prime is 9967891. The next prime is 9968009. The reversal of 9967987 is 7897699.

9967987 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9967987 is a prime.

9967987 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (9967187) 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, 4983993 + 4983994.

It is an arithmetic number, because the mean of its divisors is an integer number (4983994).

Almost surely, 29967987 is an apocalyptic number.

9967987 is a deficient number, since it is larger than the sum of its proper divisors (1).

9967987 is an equidigital number, since it uses as much as digits as its factorization.

9967987 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1714608, while the sum is 55.

The square root of 9967987 is about 3157.2119029295. The cubic root of 9967987 is about 215.2133235142.

It can be divided in two parts, 99 and 67987, that added together give a palindrome (68086).

The spelling of 9967987 in words is "nine million, nine hundred sixty-seven thousand, nine hundred eighty-seven".