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87983617 is a prime number
BaseRepresentation
bin1010011111010…
…00011000000001
320010120000211111
411033220120001
5140010433432
612421443321
72115564001
oct517503001
9203500744
1087983617
1145734437
1225570541
13152c7217
14b984001
157ace347
hex53e8601

87983617 has 2 divisors, whose sum is σ = 87983618. Its totient is φ = 87983616.

The previous prime is 87983563. The next prime is 87983627. The reversal of 87983617 is 71638978.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70711281 + 17272336 = 8409^2 + 4156^2 .

87983617 is a truncatable prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-87983617 is a prime.

It is a super-2 number, since 2×879836172 = 15482233720805378, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (87983627) 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, 43991808 + 43991809.

It is an arithmetic number, because the mean of its divisors is an integer number (43991809).

Almost surely, 287983617 is an apocalyptic number.

It is an amenable number.

87983617 is a deficient number, since it is larger than the sum of its proper divisors (1).

87983617 is an equidigital number, since it uses as much as digits as its factorization.

87983617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 508032, while the sum is 49.

The square root of 87983617 is about 9379.9582621673. The cubic root of 87983617 is about 444.7684137751.

Adding to 87983617 its product of digits (508032), we get a square (88491649 = 94072).

The spelling of 87983617 in words is "eighty-seven million, nine hundred eighty-three thousand, six hundred seventeen".