85491 has 24 divisors (see below), whose sum is σ = 149760. Its totient is φ = 45936.

The previous prime is 85487. The next prime is 85513. The reversal of 85491 is 19458.

85491 is a nontrivial binomial coefficient, being equal to C(414, 2).

It is not a de Polignac number, because 85491 - 2² = 85487 is a prime.

It is a super-2 number, since 2×85491² = 14617422162, which contains 22 as substring.

85491 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (85411) 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, 1420 + ... + 1478.

It is an arithmetic number, because the mean of its divisors is an integer number (6240).

2⁸⁵⁴⁹¹ is an apocalyptic number.

85491 is the 413-rd triangular number and also the 207-th hexagonal number.

85491 is a deficient number, since it is larger than the sum of its proper divisors (64269).

85491 is a wasteful number, since it uses less digits than its factorization.

85491 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 92 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 85491 is about 292.3884402640. The cubic root of 85491 is about 44.0527947540.

It can be divided in two parts, 85 and 491, that added together give a square (576 = 24²).

The spelling of 85491 in words is "eighty-five thousand, four hundred ninety-one".