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82353 = 397283
BaseRepresentation
bin10100000110110001
311011222010
4110012301
510113403
61433133
7462045
oct240661
9134863
1082353
1156967
123b7a9
132b63b
1422025
1519603
hex141b1

82353 has 8 divisors (see below), whose sum is σ = 111328. Its totient is φ = 54144.

The previous prime is 82351. The next prime is 82361. The reversal of 82353 is 35328.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 82353 - 21 = 82351 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82351) 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 7 ways as a sum of consecutive naturals, for example, 150 + ... + 432.

It is an arithmetic number, because the mean of its divisors is an integer number (13916).

282353 is an apocalyptic number.

It is an amenable number.

82353 is a deficient number, since it is larger than the sum of its proper divisors (28975).

82353 is a wasteful number, since it uses less digits than its factorization.

82353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383.

The product of its digits is 720, while the sum is 21.

The square root of 82353 is about 286.9721240818. The cubic root of 82353 is about 43.5070671567.

It can be divided in two parts, 82 and 353, that added together give a triangular number (435 = T29).

The spelling of 82353 in words is "eighty-two thousand, three hundred fifty-three".

Divisors: 1 3 97 283 291 849 27451 82353