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73084681 is a prime number
BaseRepresentation
bin1000101101100…
…10111100001001
312002112002100001
410112302330021
5122202202211
611130243001
71545131605
oct426627411
9162462301
1073084681
113828866a
1220586461
13121ab897
1499c6505
156639ac1
hex45b2f09

73084681 has 2 divisors, whose sum is σ = 73084682. Its totient is φ = 73084680.

The previous prime is 73084651. The next prime is 73084709. The reversal of 73084681 is 18648037.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45427600 + 27657081 = 6740^2 + 5259^2 .

It is a cyclic number.

It is not a de Polignac number, because 73084681 - 217 = 72953609 is a prime.

It is a super-2 number, since 2×730846812 = 10682741193743522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 73084681.

It is not a weakly prime, because it can be changed into another prime (73084601) 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, 36542340 + 36542341.

It is an arithmetic number, because the mean of its divisors is an integer number (36542341).

Almost surely, 273084681 is an apocalyptic number.

It is an amenable number.

73084681 is a deficient number, since it is larger than the sum of its proper divisors (1).

73084681 is an equidigital number, since it uses as much as digits as its factorization.

73084681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 73084681 is about 8548.9578897080. The cubic root of 73084681 is about 418.0954602151.

The spelling of 73084681 in words is "seventy-three million, eighty-four thousand, six hundred eighty-one".