85516 has 6 divisors (see below), whose sum is σ = 149660. Its totient is φ = 42756.

The previous prime is 85513. The next prime is 85517. The reversal of 85516 is 61558.

It is not an unprimeable number, because it can be changed into a prime (85513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10686 + ... + 10693.

2⁸⁵⁵¹⁶ is an apocalyptic number.

It is an amenable number.

85516 is a deficient number, since it is larger than the sum of its proper divisors (64144).

85516 is a wasteful number, since it uses less digits than its factorization.

85516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21383 (or 21381 counting only the distinct ones).

The product of its digits is 1200, while the sum is 25.

The square root of 85516 is about 292.4311884871. The cubic root of 85516 is about 44.0570884322.

Subtracting from 85516 its sum of digits (25), we obtain a triangular number (85491 = T₄₁₃).

The spelling of 85516 in words is "eighty-five thousand, five hundred sixteen".