85029834 has 32 divisors (see below), whose sum is σ = 176647680. Its totient is φ = 27265392.

The previous prime is 85029751. The next prime is 85029839. The reversal of 85029834 is 43892058.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 85029792 and 85029801.

It is not an unprimeable number, because it can be changed into a prime (85029839) 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 15 ways as a sum of consecutive naturals, for example, 14827 + ... + 19745.

It is an arithmetic number, because the mean of its divisors is an integer number (5520240).

Almost surely, 2^85029834 is an apocalyptic number.

85029834 is an abundant number, since it is smaller than the sum of its proper divisors (91617846).

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

85029834 is a wasteful number, since it uses less digits than its factorization.

85029834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5034.

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 85029834 is about 9221.1622911648. The cubic root of 85029834 is about 439.7344023815.

It can be divided in two parts, 8502 and 9834, that added together give a triangular number (18336 = T₁₉₁).

The spelling of 85029834 in words is "eighty-five million, twenty-nine thousand, eight hundred thirty-four".