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88209 = 36112
BaseRepresentation
bin10101100010010001
311111000000
4111202101
510310314
61520213
7515112
oct254221
9144000
1088209
1160300
1243069
13311c4
1424209
151b209
hex15891

88209 has 21 divisors (see below), whose sum is σ = 145369. Its totient is φ = 53460.

The previous prime is 88177. The next prime is 88211. The reversal of 88209 is 90288.

88209 = T296 + T297.

The square root of 88209 is 297.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 88209 - 25 = 88177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (88259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 8014 + ... + 8024.

288209 is an apocalyptic number.

88209 is the 297-th square number.

88209 is the 149-th centered octagonal number.

It is an amenable number.

88209 is a deficient number, since it is larger than the sum of its proper divisors (57160).

88209 is an equidigital number, since it uses as much as digits as its factorization.

88209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The cubic root of 88209 is about 44.5147869892.

The spelling of 88209 in words is "eighty-eight thousand, two hundred nine".

Divisors: 1 3 9 11 27 33 81 99 121 243 297 363 729 891 1089 2673 3267 8019 9801 29403 88209