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8005997 = 17470941
BaseRepresentation
bin11110100010100101101101
3120001202011102
4132202211231
54022142442
6443332445
7125023046
oct36424555
916052142
108005997
11457902a
122821125
13187409c
1410c58cd
15a82232
hex7a296d

8005997 has 4 divisors (see below), whose sum is σ = 8476956. Its totient is φ = 7535040.

The previous prime is 8005957. The next prime is 8006003. The reversal of 8005997 is 7995008.

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 3279721 + 4726276 = 1811^2 + 2174^2 .

It is a cyclic number.

It is not a de Polignac number, because 8005997 - 210 = 8004973 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8005997.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 235454 + ... + 235487.

It is an arithmetic number, because the mean of its divisors is an integer number (2119239).

Almost surely, 28005997 is an apocalyptic number.

It is an amenable number.

8005997 is a deficient number, since it is larger than the sum of its proper divisors (470959).

8005997 is a wasteful number, since it uses less digits than its factorization.

8005997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470958.

The product of its (nonzero) digits is 22680, while the sum is 38.

The square root of 8005997 is about 2829.4870559874. The cubic root of 8005997 is about 200.0499625177.

The spelling of 8005997 in words is "eight million, five thousand, nine hundred ninety-seven".

Divisors: 1 17 470941 8005997