85409101 has 2 divisors, whose sum is σ = 85409102. Its totient is φ = 85409100.

The previous prime is 85409059. The next prime is 85409111. The reversal of 85409101 is 10190458.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84088900 + 1320201 = 9170^2 + 1149^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85409101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85409101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85409111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42704550 + 42704551.

It is an arithmetic number, because the mean of its divisors is an integer number (42704551).

Almost surely, 2^85409101 is an apocalyptic number.

It is an amenable number.

85409101 is a deficient number, since it is larger than the sum of its proper divisors (1).

85409101 is an equidigital number, since it uses as much as digits as its factorization.

85409101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 85409101 is about 9241.7044423634. The cubic root of 85409101 is about 440.3872297040.

Adding to 85409101 its reverse (10190458), we get a palindrome (95599559).

The spelling of 85409101 in words is "eighty-five million, four hundred nine thousand, one hundred one".