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11601 = 321289

11601 has 6 divisors (see below), whose sum is σ = 16770. Its totient is φ = 7728.

The previous prime is 11597. The next prime is 11617. The reversal of 11601 is 10611.

11601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11025 + 576 = 105^2 + 24^2 .

It is not a de Polignac number, because 11601 - 22 = 11597 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1289 = 11601 / (1 + 1 + 6 + 0 + 1).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 11601.

It is not an unprimeable number, because it can be changed into a prime (11621) 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 5 ways as a sum of consecutive naturals, for example, 636 + ... + 653.

It is an arithmetic number, because the mean of its divisors is an integer number (2795).

211601 is an apocalyptic number.

It is an amenable number.

11601 is a deficient number, since it is larger than the sum of its proper divisors (5169).

11601 is a wasteful number, since it uses less digits than its factorization.

11601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 11601 is about 107.7079384261. The cubic root of 11601 is about 22.6376743898.

Subtracting from 11601 its reverse (10611), we obtain a triangular number (990 = T44).

The spelling of 11601 in words is "eleven thousand, six hundred one".

Divisors: 1 3 9 1289 3867 11601