85338435 has 64 divisors (see below), whose sum is σ = 169989120. Its totient is φ = 35596800.

The previous prime is 85338413. The next prime is 85338439. The reversal of 85338435 is 53483358.

It is not a de Polignac number, because 85338435 - 2⁵ = 85338403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 85338393 and 85338402.

It is not an unprimeable number, because it can be changed into a prime (85338439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137556 + ... + 138174.

It is an arithmetic number, because the mean of its divisors is an integer number (2656080).

Almost surely, 2^85338435 is an apocalyptic number.

85338435 is a deficient number, since it is larger than the sum of its proper divisors (84650685).

85338435 is a wasteful number, since it uses less digits than its factorization.

85338435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748.

The product of its digits is 172800, while the sum is 39.

The square root of 85338435 is about 9237.8804387154. The cubic root of 85338435 is about 440.2657399550.

The spelling of 85338435 in words is "eighty-five million, three hundred thirty-eight thousand, four hundred thirty-five".