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7005 = 35467
BaseRepresentation
bin1101101011101
3100121110
41231131
5211010
652233
726265
oct15535
910543
107005
115299
124079
13325b
1427a5
152120
hex1b5d

7005 has 8 divisors (see below), whose sum is σ = 11232. Its totient is φ = 3728.

The previous prime is 7001. The next prime is 7013. The reversal of 7005 is 5007.

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 7005 - 22 = 7001 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219 + ... + 248.

It is an arithmetic number, because the mean of its divisors is an integer number (1404).

27005 is an apocalyptic number.

It is an amenable number.

7005 is a deficient number, since it is larger than the sum of its proper divisors (4227).

7005 is a wasteful number, since it uses less digits than its factorization.

7005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475.

The product of its (nonzero) digits is 35, while the sum is 12.

The square root of 7005 is about 83.6958780347. The cubic root of 7005 is about 19.1338653418.

The spelling of 7005 in words is "seven thousand, five".

Divisors: 1 3 5 15 467 1401 2335 7005