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85491 = 3272359
BaseRepresentation
bin10100110111110011
311100021100
4110313303
510213431
61455443
7504150
oct246763
9140240
1085491
115925a
1241583
132cbb3
1423227
151a4e6
hex14df3

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.

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

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.

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

Divisors: 1 3 7 9 21 23 59 63 69 161 177 207 413 483 531 1239 1357 1449 3717 4071 9499 12213 28497 85491