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82415237 is a prime number
BaseRepresentation
bin1001110100110…
…00111010000101
312202002010110012
410322120322011
5132044241422
612102240005
72020342442
oct472307205
9182063405
1082415237
1142580873
1223726005
13140c7818
14ad349c9
15737e4e2
hex4e98e85

82415237 has 2 divisors, whose sum is σ = 82415238. Its totient is φ = 82415236.

The previous prime is 82415197. The next prime is 82415323. The reversal of 82415237 is 73251428.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71132356 + 11282881 = 8434^2 + 3359^2 .

It is a cyclic number.

It is not a de Polignac number, because 82415237 - 26 = 82415173 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82415537) 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, 41207618 + 41207619.

It is an arithmetic number, because the mean of its divisors is an integer number (41207619).

Almost surely, 282415237 is an apocalyptic number.

It is an amenable number.

82415237 is a deficient number, since it is larger than the sum of its proper divisors (1).

82415237 is an equidigital number, since it uses as much as digits as its factorization.

82415237 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13440, while the sum is 32.

The square root of 82415237 is about 9078.2838135850. The cubic root of 82415237 is about 435.1802432691.

It can be divided in two parts, 824 and 15237, that added together give a palindrome (16061).

The spelling of 82415237 in words is "eighty-two million, four hundred fifteen thousand, two hundred thirty-seven".