91287953 has 2 divisors, whose sum is σ = 91287954. Its totient is φ = 91287952.

The previous prime is 91287929. The next prime is 91287967. The reversal of 91287953 is 35978219.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75550864 + 15737089 = 8692^2 + 3967^2 .

It is an emirp because it is prime and its reverse (35978219) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 91287953 - 2⁸ = 91287697 is a prime.

It is not a weakly prime, because it can be changed into another prime (91286953) 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, 45643976 + 45643977.

It is an arithmetic number, because the mean of its divisors is an integer number (45643977).

Almost surely, 2^91287953 is an apocalyptic number.

It is an amenable number.

91287953 is a deficient number, since it is larger than the sum of its proper divisors (1).

91287953 is an equidigital number, since it uses as much as digits as its factorization.

91287953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 136080, while the sum is 44.

The square root of 91287953 is about 9554.4729315646. The cubic root of 91287953 is about 450.2680756602.

The spelling of 91287953 in words is "ninety-one million, two hundred eighty-seven thousand, nine hundred fifty-three".