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80797 = 431879
BaseRepresentation
bin10011101110011101
311002211111
4103232131
510041142
61422021
7454363
oct235635
9132744
1080797
1155782
123a911
132aa12
1421633
1518e17
hex13b9d

80797 has 4 divisors (see below), whose sum is σ = 82720. Its totient is φ = 78876.

The previous prime is 80789. The next prime is 80803. The reversal of 80797 is 79708.

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.

It is a cyclic number.

It is not a de Polignac number, because 80797 - 23 = 80789 is a prime.

It is a Duffinian number.

80797 is a lucky number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 897 + ... + 982.

It is an arithmetic number, because the mean of its divisors is an integer number (20680).

280797 is an apocalyptic number.

It is an amenable number.

80797 is a deficient number, since it is larger than the sum of its proper divisors (1923).

80797 is a wasteful number, since it uses less digits than its factorization.

80797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922.

The product of its (nonzero) digits is 3528, while the sum is 31.

The square root of 80797 is about 284.2481310405. The cubic root of 80797 is about 43.2313116047.

Subtracting from 80797 its reverse (79708), we obtain a square (1089 = 332).

The spelling of 80797 in words is "eighty thousand, seven hundred ninety-seven".

Divisors: 1 43 1879 80797