85547538 has 48 divisors (see below), whose sum is σ = 201427200. Its totient is φ = 26140320.

The previous prime is 85547537. The next prime is 85547549. The reversal of 85547538 is 83574558.

It is a super-2 number, since 2×85547538² = 14636762515722888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 85547493 and 85547502.

It is not an unprimeable number, because it can be changed into a prime (85547531) 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 23 ways as a sum of consecutive naturals, for example, 6568 + ... + 14636.

It is an arithmetic number, because the mean of its divisors is an integer number (4196400).

Almost surely, 2^85547538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85547538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100713600).

85547538 is an abundant number, since it is smaller than the sum of its proper divisors (115879662).

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

85547538 is a wasteful number, since it uses less digits than its factorization.

85547538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8127 (or 8124 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 85547538 is about 9249.1912078841. The cubic root of 85547538 is about 440.6250379961.

The spelling of 85547538 in words is "eighty-five million, five hundred forty-seven thousand, five hundred thirty-eight".