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83797 = 711971
BaseRepresentation
bin10100011101010101
311020221121
4110131111
510140142
61443541
7466210
oct243525
9136847
1083797
1157a5a
12405b1
132c1ac
1422777
1519c67
hex14755

83797 has 4 divisors (see below), whose sum is σ = 95776. Its totient is φ = 71820.

The previous prime is 83791. The next prime is 83813. The reversal of 83797 is 79738.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 79738 = 239869.

It is not a de Polignac number, because 83797 - 211 = 81749 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83791) 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, 5979 + ... + 5992.

It is an arithmetic number, because the mean of its divisors is an integer number (23944).

283797 is an apocalyptic number.

It is an amenable number.

83797 is a deficient number, since it is larger than the sum of its proper divisors (11979).

83797 is a wasteful number, since it uses less digits than its factorization.

83797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11978.

The product of its digits is 10584, while the sum is 34.

The square root of 83797 is about 289.4771148122. The cubic root of 83797 is about 43.7598834814.

It can be divided in two parts, 8379 and 7, that multiplied together give a triangular number (58653 = T342).

The spelling of 83797 in words is "eighty-three thousand, seven hundred ninety-seven".

Divisors: 1 7 11971 83797