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88317 = 333271
BaseRepresentation
bin10101100011111101
311111011000
4111203331
510311232
61520513
7515325
oct254375
9144130
1088317
1160399
1243139
1331278
1424285
151b27c
hex158fd

88317 has 8 divisors (see below), whose sum is σ = 130880. Its totient is φ = 58860.

The previous prime is 88301. The next prime is 88321. The reversal of 88317 is 71388.

It is not a de Polignac number, because 88317 - 24 = 88301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3271 = 88317 / (8 + 8 + 3 + 1 + 7).

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88317.

It is not an unprimeable number, because it can be changed into a prime (88327) 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 7 ways as a sum of consecutive naturals, for example, 1609 + ... + 1662.

It is an arithmetic number, because the mean of its divisors is an integer number (16360).

288317 is an apocalyptic number.

It is an amenable number.

88317 is a deficient number, since it is larger than the sum of its proper divisors (42563).

88317 is a wasteful number, since it uses less digits than its factorization.

88317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280 (or 3274 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 88317 is about 297.1817625629. The cubic root of 88317 is about 44.5329470267.

It can be divided in two parts, 883 and 17, that added together give a square (900 = 302).

The spelling of 88317 in words is "eighty-eight thousand, three hundred seventeen".

Divisors: 1 3 9 27 3271 9813 29439 88317