85347405 has 64 divisors (see below), whose sum is σ = 178295040. Its totient is φ = 38188800.

The previous prime is 85347403. The next prime is 85347407. The reversal of 85347405 is 50474358.

It is an interprime number because it is at equal distance from previous prime (85347403) and next prime (85347407).

It is not a de Polignac number, because 85347405 - 2¹ = 85347403 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85347405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85347401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17095 + ... + 21515.

It is an arithmetic number, because the mean of its divisors is an integer number (2785860).

Almost surely, 2^85347405 is an apocalyptic number.

It is an amenable number.

85347405 is an abundant number, since it is smaller than the sum of its proper divisors (92947635).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85347405 is a wasteful number, since it uses less digits than its factorization.

85347405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4459 (or 4453 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 85347405 is about 9238.3659269375. The cubic root of 85347405 is about 440.2811649911.

The spelling of 85347405 in words is "eighty-five million, three hundred forty-seven thousand, four hundred five".