85905361 has 2 divisors, whose sum is σ = 85905362. Its totient is φ = 85905360.

The previous prime is 85905359. The next prime is 85905367. The reversal of 85905361 is 16350958.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66324736 + 19580625 = 8144^2 + 4425^2 .

It is a cyclic number.

It is not a de Polignac number, because 85905361 - 2¹ = 85905359 is a prime.

Together with 85905359, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 85905361.

It is not a weakly prime, because it can be changed into another prime (85905367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42952680 + 42952681.

It is an arithmetic number, because the mean of its divisors is an integer number (42952681).

Almost surely, 2^85905361 is an apocalyptic number.

It is an amenable number.

85905361 is a deficient number, since it is larger than the sum of its proper divisors (1).

85905361 is an equidigital number, since it uses as much as digits as its factorization.

85905361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 85905361 is about 9268.5144980196. The cubic root of 85905361 is about 441.2385232431.

The spelling of 85905361 in words is "eighty-five million, nine hundred five thousand, three hundred sixty-one".