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99127 = 73172
BaseRepresentation
bin11000001100110111
312000222101
4120030313
511133002
62042531
7562000
oct301467
9160871
1099127
1168526
1249447
1336172
14281a7
151e587
hex18337

99127 has 12 divisors (see below), whose sum is σ = 122800. Its totient is φ = 79968.

The previous prime is 99119. The next prime is 99131. The reversal of 99127 is 72199.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 99127 - 23 = 99119 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 99095 and 99104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5823 + ... + 5839.

299127 is an apocalyptic number.

99127 is a deficient number, since it is larger than the sum of its proper divisors (23673).

99127 is an equidigital number, since it uses as much as digits as its factorization.

99127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 24 counting only the distinct ones).

The product of its digits is 1134, while the sum is 28.

The square root of 99127 is about 314.8444060167. The cubic root of 99127 is about 46.2804231292.

Subtracting from 99127 its sum of digits (28), we obtain a palindrome (99099).

Multiplying 99127 by its sum of digits (28), we get a square (2775556 = 16662).

The spelling of 99127 in words is "ninety-nine thousand, one hundred twenty-seven".

Divisors: 1 7 17 49 119 289 343 833 2023 5831 14161 99127