46601 has 2 divisors, whose sum is σ = 46602. Its totient is φ = 46600.

The previous prime is 46591. The next prime is 46619. The reversal of 46601 is 10664.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30976 + 15625 = 176^2 + 125^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-46601 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 46601.

It is not a weakly prime, because it can be changed into another prime (46681) 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 as a sum of consecutive naturals, namely, 23300 + 23301.

It is an arithmetic number, because the mean of its divisors is an integer number (23301).

2⁴⁶⁶⁰¹ is an apocalyptic number.

It is an amenable number.

46601 is a deficient number, since it is larger than the sum of its proper divisors (1).

46601 is an equidigital number, since it uses as much as digits as its factorization.

46601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 46601 is about 215.8726476421. The cubic root of 46601 is about 35.9858483472.

Subtracting from 46601 its reverse (10664), we obtain a cube (35937 = 33³).

The spelling of 46601 in words is "forty-six thousand, six hundred one".