90357121 has 2 divisors, whose sum is σ = 90357122. Its totient is φ = 90357120.

The previous prime is 90357101. The next prime is 90357131. The reversal of 90357121 is 12175309.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83466496 + 6890625 = 9136^2 + 2625^2 .

It is an emirp because it is prime and its reverse (12175309) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 90357121 - 2¹⁷ = 90226049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 90357121.

It is not a weakly prime, because it can be changed into another prime (90357101) 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, 45178560 + 45178561.

It is an arithmetic number, because the mean of its divisors is an integer number (45178561).

Almost surely, 2^90357121 is an apocalyptic number.

It is an amenable number.

90357121 is a deficient number, since it is larger than the sum of its proper divisors (1).

90357121 is an equidigital number, since it uses as much as digits as its factorization.

90357121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 90357121 is about 9505.6362753895. The cubic root of 90357121 is about 448.7324345046.

The spelling of 90357121 in words is "ninety million, three hundred fifty-seven thousand, one hundred twenty-one".