85347834 has 48 divisors (see below), whose sum is σ = 202079136. Its totient is φ = 23870880.

The previous prime is 85347833. The next prime is 85347853. The reversal of 85347834 is 43874358.

It is not an unprimeable number, because it can be changed into a prime (85347833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4917 + ... + 13959.

It is an arithmetic number, because the mean of its divisors is an integer number (4209982).

Almost surely, 2^85347834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85347834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101039568).

85347834 is an abundant number, since it is smaller than the sum of its proper divisors (116731302).

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

85347834 is a wasteful number, since it uses less digits than its factorization.

85347834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9083 (or 9072 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 85347834 is about 9238.3891453002. The cubic root of 85347834 is about 440.2819026831.

The spelling of 85347834 in words is "eighty-five million, three hundred forty-seven thousand, eight hundred thirty-four".