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104947 is a prime number
BaseRepresentation
bin11001100111110011
312022221221
4121213303
511324242
62125511
7614653
oct314763
9168857
10104947
1171937
1250897
13389cb
142a363
1521167
hex199f3

104947 has 2 divisors, whose sum is σ = 104948. Its totient is φ = 104946.

The previous prime is 104933. The next prime is 104953. The reversal of 104947 is 749401.

It is a strong prime.

It is an emirp because it is prime and its reverse (749401) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-104947 is a prime.

It is a super-2 number, since 2×1049472 = 22027745618, which contains 22 as substring.

104947 is a lucky number.

It is a zygodrome in base 2.

It is not a weakly prime, because it can be changed into another prime (104917) 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, 52473 + 52474.

It is an arithmetic number, because the mean of its divisors is an integer number (52474).

2104947 is an apocalyptic number.

104947 is a deficient number, since it is larger than the sum of its proper divisors (1).

104947 is an equidigital number, since it uses as much as digits as its factorization.

104947 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 104947 is about 323.9552438224. The cubic root of 104947 is about 47.1690007599.

It can be divided in two parts, 10494 and 7, that added together give a palindrome (10501).

The spelling of 104947 in words is "one hundred four thousand, nine hundred forty-seven".