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97007 is a prime number
BaseRepresentation
bin10111101011101111
311221001212
4113223233
511101012
62025035
7552551
oct275357
9157055
1097007
1166979
124817b
1335201
14274d1
151db22
hex17aef

97007 has 2 divisors, whose sum is σ = 97008. Its totient is φ = 97006.

The previous prime is 97003. The next prime is 97021. The reversal of 97007 is 70079.

It is a weak prime.

It is an emirp because it is prime and its reverse (70079) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 97007 - 22 = 97003 is a prime.

It is a Chen prime.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97007.

It is not a weakly prime, because it can be changed into another prime (97001) 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, 48503 + 48504.

It is an arithmetic number, because the mean of its divisors is an integer number (48504).

297007 is an apocalyptic number.

97007 is a deficient number, since it is larger than the sum of its proper divisors (1).

97007 is an equidigital number, since it uses as much as digits as its factorization.

97007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 441, while the sum is 23.

The square root of 97007 is about 311.4594676679. The cubic root of 97007 is about 45.9481141500.

The spelling of 97007 in words is "ninety-seven thousand, seven".