46517953 has 2 divisors, whose sum is σ = 46517954. Its totient is φ = 46517952.

The previous prime is 46517893. The next prime is 46517957. The reversal of 46517953 is 35971564.

46517953 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., 24681024 + 21836929 = 4968^2 + 4673^2 .

It is a cyclic number.

It is not a de Polignac number, because 46517953 - 2¹³ = 46509761 is a prime.

It is not a weakly prime, because it can be changed into another prime (46517957) 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, 23258976 + 23258977.

It is an arithmetic number, because the mean of its divisors is an integer number (23258977).

Almost surely, 2^46517953 is an apocalyptic number.

It is an amenable number.

46517953 is a deficient number, since it is larger than the sum of its proper divisors (1).

46517953 is an equidigital number, since it uses as much as digits as its factorization.

46517953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 113400, while the sum is 40.

The square root of 46517953 is about 6820.4070992867. The cubic root of 46517953 is about 359.6445900807.

The spelling of 46517953 in words is "forty-six million, five hundred seventeen thousand, nine hundred fifty-three".