46580657 has 2 divisors, whose sum is σ = 46580658. Its totient is φ = 46580656.

The previous prime is 46580623. The next prime is 46580659. The reversal of 46580657 is 75608564.

46580657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36493681 + 10086976 = 6041^2 + 3176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-46580657 is a prime.

Together with 46580659, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (46580659) 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 as a sum of consecutive naturals, namely, 23290328 + 23290329.

It is an arithmetic number, because the mean of its divisors is an integer number (23290329).

Almost surely, 2^46580657 is an apocalyptic number.

It is an amenable number.

46580657 is a deficient number, since it is larger than the sum of its proper divisors (1).

46580657 is an equidigital number, since it uses as much as digits as its factorization.

46580657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 201600, while the sum is 41.

The square root of 46580657 is about 6825.0023443219. The cubic root of 46580657 is about 359.8061121589.

The spelling of 46580657 in words is "forty-six million, five hundred eighty thousand, six hundred fifty-seven".