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8601 = 34761

8601 has 8 divisors (see below), whose sum is σ = 11904. Its totient is φ = 5520.

The previous prime is 8599. The next prime is 8609. The reversal of 8601 is 1068.

8601 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 8601 - 21 = 8599 is a prime.

It is a Curzon number.

8601 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8601.

It is not an unprimeable number, because it can be changed into a prime (8609) 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, 111 + ... + 171.

It is an arithmetic number, because the mean of its divisors is an integer number (1488).

28601 is an apocalyptic number.

It is an amenable number.

8601 is a deficient number, since it is larger than the sum of its proper divisors (3303).

8601 is a wasteful number, since it uses less digits than its factorization.

8601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 8601 is about 92.7415764369. The cubic root of 8601 is about 20.4887902228.

Adding to 8601 its product of nonzero digits (48), we get a square (8649 = 932).

Adding to 8601 its reverse (1068), we get a palindrome (9669).

It can be divided in two parts, 860 and 1, that added together give a triangular number (861 = T41).

The spelling of 8601 in words is "eight thousand, six hundred one".

Divisors: 1 3 47 61 141 183 2867 8601