46586561 has 8 divisors (see below), whose sum is σ = 53340864. Its totient is φ = 39857040.

The previous prime is 46586513. The next prime is 46586567. The reversal of 46586561 is 16568564.

It is a happy number.

46586561 is digitally balanced in base 2, 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 a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-46586561 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (46586567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1970 + ... + 9851.

It is an arithmetic number, because the mean of its divisors is an integer number (6667608).

Almost surely, 2^46586561 is an apocalyptic number.

46586561 is the 3941-st octagonal number.

It is an amenable number.

46586561 is a deficient number, since it is larger than the sum of its proper divisors (6754303).

46586561 is a wasteful number, since it uses less digits than its factorization.

46586561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12391.

The product of its digits is 172800, while the sum is 41.

The square root of 46586561 is about 6825.4348579413. The cubic root of 46586561 is about 359.8213130719.

The spelling of 46586561 in words is "forty-six million, five hundred eighty-six thousand, five hundred sixty-one".