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87249257 is a prime number
BaseRepresentation
bin1010011001101…
…01000101101001
320002011201110222
411030311011221
5134313434012
612354015425
72106415004
oct514650551
9202151428
1087249257
1145282727
1225277575
13150caba4
14b83253b
1579d6972
hex5335169

87249257 has 2 divisors, whose sum is σ = 87249258. Its totient is φ = 87249256.

The previous prime is 87249241. The next prime is 87249277. The reversal of 87249257 is 75294278.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58690921 + 28558336 = 7661^2 + 5344^2 .

It is a cyclic number.

It is not a de Polignac number, because 87249257 - 24 = 87249241 is a prime.

It is a super-2 number, since 2×872492572 = 15224865694104098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (87249277) 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, 43624628 + 43624629.

It is an arithmetic number, because the mean of its divisors is an integer number (43624629).

Almost surely, 287249257 is an apocalyptic number.

It is an amenable number.

87249257 is a deficient number, since it is larger than the sum of its proper divisors (1).

87249257 is an equidigital number, since it uses as much as digits as its factorization.

87249257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 282240, while the sum is 44.

The square root of 87249257 is about 9340.7310741719. The cubic root of 87249257 is about 443.5275271256.

The spelling of 87249257 in words is "eighty-seven million, two hundred forty-nine thousand, two hundred fifty-seven".