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82187641 is a prime number
BaseRepresentation
bin1001110011000…
…01010101111001
312201122120020201
410321201111321
5132020001031
612053322201
72015404054
oct471412571
9181576221
1082187641
1142435878
1223636361
1314048053
14acb5a9b
157336d61
hex4e61579

82187641 has 2 divisors, whose sum is σ = 82187642. Its totient is φ = 82187640.

The previous prime is 82187621. The next prime is 82187689. The reversal of 82187641 is 14678128.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77369616 + 4818025 = 8796^2 + 2195^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82187641 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82187641.

It is not a weakly prime, because it can be changed into another prime (82187621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41093820 + 41093821.

It is an arithmetic number, because the mean of its divisors is an integer number (41093821).

Almost surely, 282187641 is an apocalyptic number.

It is an amenable number.

82187641 is a deficient number, since it is larger than the sum of its proper divisors (1).

82187641 is an equidigital number, since it uses as much as digits as its factorization.

82187641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 21504, while the sum is 37.

The square root of 82187641 is about 9065.7399587678. The cubic root of 82187641 is about 434.7792794016.

It can be divided in two parts, 82187 and 641, that added together give a palindrome (82828).

The spelling of 82187641 in words is "eighty-two million, one hundred eighty-seven thousand, six hundred forty-one".