85005377 has 2 divisors, whose sum is σ = 85005378. Its totient is φ = 85005376.

The previous prime is 85005329. The next prime is 85005407. The reversal of 85005377 is 77350058.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46117681 + 38887696 = 6791^2 + 6236^2 .

It is a cyclic number.

It is not a de Polignac number, because 85005377 - 2⁶ = 85005313 is a prime.

It is not a weakly prime, because it can be changed into another prime (85005307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42502688 + 42502689.

It is an arithmetic number, because the mean of its divisors is an integer number (42502689).

Almost surely, 2^85005377 is an apocalyptic number.

It is an amenable number.

85005377 is a deficient number, since it is larger than the sum of its proper divisors (1).

85005377 is an equidigital number, since it uses as much as digits as its factorization.

85005377 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 29400, while the sum is 35.

The square root of 85005377 is about 9219.8360614492. The cubic root of 85005377 is about 439.6922382961.

The spelling of 85005377 in words is "eighty-five million, five thousand, three hundred seventy-seven".