85577407 has 2 divisors, whose sum is σ = 85577408. Its totient is φ = 85577406.

The previous prime is 85577381. The next prime is 85577417. The reversal of 85577407 is 70477558.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 85577407 - 2⁷ = 85577279 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85577417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42788703 + 42788704.

It is an arithmetic number, because the mean of its divisors is an integer number (42788704).

Almost surely, 2^85577407 is an apocalyptic number.

85577407 is a deficient number, since it is larger than the sum of its proper divisors (1).

85577407 is an equidigital number, since it uses as much as digits as its factorization.

85577407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 274400, while the sum is 43.

The square root of 85577407 is about 9250.8057486902. The cubic root of 85577407 is about 440.6763135720.

The spelling of 85577407 in words is "eighty-five million, five hundred seventy-seven thousand, four hundred seven".