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82369 = 72412
BaseRepresentation
bin10100000111000001
311011222201
4110013001
510113434
61433201
7462100
oct240701
9134881
1082369
1156981
123b801
132b651
1422037
1519614
hex141c1

82369 has 9 divisors (see below), whose sum is σ = 98211. Its totient is φ = 68880.

The previous prime is 82361. The next prime is 82373. The reversal of 82369 is 96328.

82369 = T286 + T287.

The square root of 82369 is 287.

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

It can be written as a sum of positive squares in only one way, i.e., 3969 + 78400 = 63^2 + 280^2 .

It is not a de Polignac number, because 82369 - 23 = 82361 is a prime.

It is a super-2 number, since 2×823692 = 13569304322, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (2592) is a multiple of the sum of its prime divisors (48).

82369 is a modest number, since divided by 369 gives 82 as remainder.

It is not an unprimeable number, because it can be changed into a prime (82361) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1989 + ... + 2029.

282369 is an apocalyptic number.

82369 is the 287-th square number.

82369 is the 144-th centered octagonal number.

It is an amenable number.

82369 is a deficient number, since it is larger than the sum of its proper divisors (15842).

82369 is an equidigital number, since it uses as much as digits as its factorization.

82369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 48 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The cubic root of 82369 is about 43.5098845728.

The spelling of 82369 in words is "eighty-two thousand, three hundred sixty-nine".

Divisors: 1 7 41 49 287 1681 2009 11767 82369