85201405 has 8 divisors (see below), whose sum is σ = 103296312. Its totient is φ = 67458048.

The previous prime is 85201397. The next prime is 85201463. The reversal of 85201405 is 50410258.

It can be written as a sum of positive squares in 4 ways, for example, as 19882681 + 65318724 = 4459^2 + 8082^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85201405 - 2³ = 85201397 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 85201405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87352 + ... + 88321.

It is an arithmetic number, because the mean of its divisors is an integer number (12912039).

Almost surely, 2^85201405 is an apocalyptic number.

It is an amenable number.

85201405 is a deficient number, since it is larger than the sum of its proper divisors (18094907).

85201405 is a wasteful number, since it uses less digits than its factorization.

85201405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175775.

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 85201405 is about 9230.4607143956. The cubic root of 85201405 is about 440.0299652457.

The spelling of 85201405 in words is "eighty-five million, two hundred one thousand, four hundred five".