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82693 = 136361
BaseRepresentation
bin10100001100000101
311012102201
4110030011
510121233
61434501
7463042
oct241405
9135381
1082693
1157146
123ba31
132b840
14221c9
151977d
hex14305

82693 has 4 divisors (see below), whose sum is σ = 89068. Its totient is φ = 76320.

The previous prime is 82657. The next prime is 82699. The reversal of 82693 is 39628.

82693 is nontrivially palindromic in base 4.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 16129 + 66564 = 127^2 + 258^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82693 is a prime.

It is a Duffinian number.

82693 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82699) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3168 + ... + 3193.

It is an arithmetic number, because the mean of its divisors is an integer number (22267).

282693 is an apocalyptic number.

It is an amenable number.

82693 is a deficient number, since it is larger than the sum of its proper divisors (6375).

82693 is a wasteful number, since it uses less digits than its factorization.

82693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6374.

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

The square root of 82693 is about 287.5639059409. The cubic root of 82693 is about 43.5668589160.

It can be divided in two parts, 826 and 93, that added together give a palindrome (919).

The spelling of 82693 in words is "eighty-two thousand, six hundred ninety-three".

Divisors: 1 13 6361 82693