91257329 has 2 divisors, whose sum is σ = 91257330. Its totient is φ = 91257328.

The previous prime is 91257319. The next prime is 91257337. The reversal of 91257329 is 92375219.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91164304 + 93025 = 9548^2 + 305^2 .

It is an emirp because it is prime and its reverse (92375219) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 91257329 - 2¹² = 91253233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 91257292 and 91257301.

It is not a weakly prime, because it can be changed into another prime (91257319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45628664 + 45628665.

It is an arithmetic number, because the mean of its divisors is an integer number (45628665).

Almost surely, 2^91257329 is an apocalyptic number.

It is an amenable number.

91257329 is a deficient number, since it is larger than the sum of its proper divisors (1).

91257329 is an equidigital number, since it uses as much as digits as its factorization.

91257329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34020, while the sum is 38.

The square root of 91257329 is about 9552.8701969617. The cubic root of 91257329 is about 450.2177201595.

The spelling of 91257329 in words is "ninety-one million, two hundred fifty-seven thousand, three hundred twenty-nine".