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8001 = 327127
BaseRepresentation
bin1111101000001
3101222100
41331001
5224001
6101013
732220
oct17501
911870
108001
116014
124769
133846
142cb7
152586
hex1f41

8001 has 12 divisors (see below), whose sum is σ = 13312. Its totient is φ = 4536.

The previous prime is 7993. The next prime is 8009. The reversal of 8001 is 1008.

8001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 203+1.

8001 is a nontrivial binomial coefficient, being equal to C(127, 2).

It is an interprime number because it is at equal distance from previous prime (7993) and next prime (8009).

It is not a de Polignac number, because 8001 - 23 = 7993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

8001 is a lucky number.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1 + ... + 126.

28001 is an apocalyptic number.

8001 is the 126-th triangular number.

It is an amenable number.

8001 is a deficient number, since it is larger than the sum of its proper divisors (5311).

8001 is a wasteful number, since it uses less digits than its factorization.

8001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 8001 is about 89.4483090953. The cubic root of 8001 is about 20.0008332986. Note that the first 3 decimals are identical.

Adding to 8001 its reverse (1008), we get a palindrome (9009).

The spelling of 8001 in words is "eight thousand, one".

Divisors: 1 3 7 9 21 63 127 381 889 1143 2667 8001