84072641 has 2 divisors, whose sum is σ = 84072642. Its totient is φ = 84072640.

The previous prime is 84072623. The next prime is 84072649. The reversal of 84072641 is 14627048.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68823616 + 15249025 = 8296^2 + 3905^2 .

It is a cyclic number.

It is not a de Polignac number, because 84072641 - 2⁶ = 84072577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 84072598 and 84072607.

It is not a weakly prime, because it can be changed into another prime (84072649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42036320 + 42036321.

It is an arithmetic number, because the mean of its divisors is an integer number (42036321).

Almost surely, 2^84072641 is an apocalyptic number.

It is an amenable number.

84072641 is a deficient number, since it is larger than the sum of its proper divisors (1).

84072641 is an equidigital number, since it uses as much as digits as its factorization.

84072641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 84072641 is about 9169.1134249719. The cubic root of 84072641 is about 438.0781207307.

Adding to 84072641 its reverse (14627048), we get a palindrome (98699689).

The spelling of 84072641 in words is "eighty-four million, seventy-two thousand, six hundred forty-one".