85736 has 16 divisors (see below), whose sum is σ = 183840. Its totient is φ = 36720.

The previous prime is 85733. The next prime is 85751. The reversal of 85736 is 63758.

85736 = T₁₅₃ + T₁₅₄ + ... + T₁₅₉.

It is a junction number, because it is equal to n+sod(n) for n = 85699 and 85708.

It is not an unprimeable number, because it can be changed into a prime (85733) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 710 + ... + 821.

It is an arithmetic number, because the mean of its divisors is an integer number (11490).

2⁸⁵⁷³⁶ is an apocalyptic number.

It is an amenable number.

85736 is an abundant number, since it is smaller than the sum of its proper divisors (98104).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91920).

85736 is a wasteful number, since it uses less digits than its factorization.

85736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1540 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 85736 is about 292.8071037390. The cubic root of 85736 is about 44.0948367661.

The spelling of 85736 in words is "eighty-five thousand, seven hundred thirty-six".