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166365 = 3253697
BaseRepresentation
bin101000100111011101
322110012200
4220213131
520310430
63322113
71262013
oct504735
9273180
10166365
11103aa1
1280339
135a954
14448b3
1534460
hex289dd

166365 has 12 divisors (see below), whose sum is σ = 288444. Its totient is φ = 88704.

The previous prime is 166363. The next prime is 166393. The reversal of 166365 is 563661.

It can be written as a sum of positive squares in 2 ways, for example, as 34596 + 131769 = 186^2 + 363^2 .

It is not a de Polignac number, because 166365 - 21 = 166363 is a prime.

166365 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166363) 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, 1804 + ... + 1893.

It is an arithmetic number, because the mean of its divisors is an integer number (24037).

2166365 is an apocalyptic number.

166365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

166365 is a deficient number, since it is larger than the sum of its proper divisors (122079).

166365 is a wasteful number, since it uses less digits than its factorization.

166365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708 (or 3705 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 166365 is about 407.8786584267. The cubic root of 166365 is about 54.9988980495.

It can be divided in two parts, 16636 and 5, that added together give a square (16641 = 1292).

The spelling of 166365 in words is "one hundred sixty-six thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 45 3697 11091 18485 33273 55455 166365