84072577 has 2 divisors, whose sum is σ = 84072578. Its totient is φ = 84072576.

The previous prime is 84072563. The next prime is 84072619. The reversal of 84072577 is 77527048.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83740801 + 331776 = 9151^2 + 576^2 .

It is a cyclic number.

It is not a de Polignac number, because 84072577 - 2²³ = 75683969 is a prime.

It is not a weakly prime, because it can be changed into another prime (84072517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42036288 + 42036289.

It is an arithmetic number, because the mean of its divisors is an integer number (42036289).

Almost surely, 2^84072577 is an apocalyptic number.

It is an amenable number.

84072577 is a deficient number, since it is larger than the sum of its proper divisors (1).

84072577 is an equidigital number, since it uses as much as digits as its factorization.

84072577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 109760, while the sum is 40.

The square root of 84072577 is about 9169.1099349937. The cubic root of 84072577 is about 438.0780095689.

The spelling of 84072577 in words is "eighty-four million, seventy-two thousand, five hundred seventy-seven".