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82945 = 553313
BaseRepresentation
bin10100010000000001
311012210001
4110100001
510123240
61440001
7463552
oct242001
9135701
1082945
1157355
1240001
132b9a5
1422329
151989a
hex14401

82945 has 8 divisors (see below), whose sum is σ = 101736. Its totient is φ = 64896.

The previous prime is 82939. The next prime is 82963. The reversal of 82945 is 54928.

It is a happy number.

It is a Cunningham number, because it is equal to 2882+1.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 82369 = 24^2 + 287^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 82945 - 25 = 82913 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109 + ... + 421.

It is an arithmetic number, because the mean of its divisors is an integer number (12717).

It is a Proth number, since it is equal to 81 ⋅ 210 + 1 and 81 < 210.

282945 is an apocalyptic number.

It is an amenable number.

82945 is a deficient number, since it is larger than the sum of its proper divisors (18791).

82945 is a wasteful number, since it uses less digits than its factorization.

82945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371.

The product of its digits is 2880, while the sum is 28.

The square root of 82945 is about 288.0017361059. The cubic root of 82945 is about 43.6110694897.

The spelling of 82945 in words is "eighty-two thousand, nine hundred forty-five".

Divisors: 1 5 53 265 313 1565 16589 82945