85519 has 8 divisors (see below), whose sum is σ = 103040. Its totient is φ = 69336.

The previous prime is 85517. The next prime is 85523. The reversal of 85519 is 91558.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85519 - 2¹ = 85517 is a prime.

It is a super-2 number, since 2×85519² = 14626998722, which contains 22 as substring.

It is a congruent number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189 + ... + 454.

It is an arithmetic number, because the mean of its divisors is an integer number (12880).

2⁸⁵⁵¹⁹ is an apocalyptic number.

85519 is a deficient number, since it is larger than the sum of its proper divisors (17521).

85519 is a wasteful number, since it uses less digits than its factorization.

85519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669.

The product of its digits is 1800, while the sum is 28.

The square root of 85519 is about 292.4363178540. The cubic root of 85519 is about 44.0576036173.

Subtracting from 85519 its sum of digits (28), we obtain a triangular number (85491 = T₄₁₃).

The spelling of 85519 in words is "eighty-five thousand, five hundred nineteen".