85893405 has 48 divisors (see below), whose sum is σ = 153755136. Its totient is φ = 40884480.

The previous prime is 85893377. The next prime is 85893407. The reversal of 85893405 is 50439858.

It is not a de Polignac number, because 85893405 - 2⁶ = 85893341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85893407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 78039 + ... + 79131.

It is an arithmetic number, because the mean of its divisors is an integer number (3203232).

Almost surely, 2^85893405 is an apocalyptic number.

It is an amenable number.

85893405 is a deficient number, since it is larger than the sum of its proper divisors (67861731).

85893405 is a wasteful number, since it uses less digits than its factorization.

85893405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 85893405 is about 9267.8694962758. The cubic root of 85893405 is about 441.2180522951.

The spelling of 85893405 in words is "eighty-five million, eight hundred ninety-three thousand, four hundred five".