85105405 has 48 divisors (see below), whose sum is σ = 135333504. Its totient is φ = 50709120.

The previous prime is 85105403. The next prime is 85105409. The reversal of 85105405 is 50450158.

It is not a de Polignac number, because 85105405 - 2¹ = 85105403 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85105403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61299 + ... + 62671.

It is an arithmetic number, because the mean of its divisors is an integer number (2819448).

Almost surely, 2^85105405 is an apocalyptic number.

It is an amenable number.

85105405 is a deficient number, since it is larger than the sum of its proper divisors (50228099).

85105405 is a wasteful number, since it uses less digits than its factorization.

85105405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The square root of 85105405 is about 9225.2590749529. The cubic root of 85105405 is about 439.8646363907.

The spelling of 85105405 in words is "eighty-five million, one hundred five thousand, four hundred five".