90735301 has 2 divisors, whose sum is σ = 90735302. Its totient is φ = 90735300.

The previous prime is 90735247. The next prime is 90735313. The reversal of 90735301 is 10353709.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88172100 + 2563201 = 9390^2 + 1601^2 .

It is a cyclic number.

It is not a de Polignac number, because 90735301 - 2⁹ = 90734789 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 90735301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90735101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45367650 + 45367651.

It is an arithmetic number, because the mean of its divisors is an integer number (45367651).

Almost surely, 2^90735301 is an apocalyptic number.

It is an amenable number.

90735301 is a deficient number, since it is larger than the sum of its proper divisors (1).

90735301 is an equidigital number, since it uses as much as digits as its factorization.

90735301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2835, while the sum is 28.

The square root of 90735301 is about 9525.5079129672. The cubic root of 90735301 is about 449.3576035494.

The spelling of 90735301 in words is "ninety million, seven hundred thirty-five thousand, three hundred one".