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99117 = 333671
BaseRepresentation
bin11000001100101101
312000222000
4120030231
511132432
62042513
7561654
oct301455
9160860
1099117
1168517
1249439
1336165
142819b
151e57c
hex1832d

99117 has 8 divisors (see below), whose sum is σ = 146880. Its totient is φ = 66060.

The previous prime is 99109. The next prime is 99119. The reversal of 99117 is 71199.

It is not a de Polignac number, because 99117 - 23 = 99109 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: 3671 = 99117 / (9 + 9 + 1 + 1 + 7).

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 99117.

It is not an unprimeable number, because it can be changed into a prime (99119) 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, 1809 + ... + 1862.

It is an arithmetic number, because the mean of its divisors is an integer number (18360).

299117 is an apocalyptic number.

It is an amenable number.

99117 is a deficient number, since it is larger than the sum of its proper divisors (47763).

99117 is a wasteful number, since it uses less digits than its factorization.

99117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3680 (or 3674 counting only the distinct ones).

The product of its digits is 567, while the sum is 27.

The square root of 99117 is about 314.8285247559. The cubic root of 99117 is about 46.2788668099.

It can be divided in two parts, 99 and 117, that added together give a cube (216 = 63).

The spelling of 99117 in words is "ninety-nine thousand, one hundred seventeen".

Divisors: 1 3 9 27 3671 11013 33039 99117