90384361 has 2 divisors, whose sum is σ = 90384362. Its totient is φ = 90384360.

The previous prime is 90384331. The next prime is 90384383. The reversal of 90384361 is 16348309.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47403225 + 42981136 = 6885^2 + 6556^2 .

It is an emirp because it is prime and its reverse (16348309) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 90384361 - 2⁷ = 90384233 is a prime.

It is not a weakly prime, because it can be changed into another prime (90384331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45192180 + 45192181.

It is an arithmetic number, because the mean of its divisors is an integer number (45192181).

Almost surely, 2^90384361 is an apocalyptic number.

It is an amenable number.

90384361 is a deficient number, since it is larger than the sum of its proper divisors (1).

90384361 is an equidigital number, since it uses as much as digits as its factorization.

90384361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 90384361 is about 9507.0690015378. The cubic root of 90384361 is about 448.7775231604. Note that the first 3 decimals are identical.

It can be divided in two parts, 903 and 84361, that added together give a square (85264 = 292²).

The spelling of 90384361 in words is "ninety million, three hundred eighty-four thousand, three hundred sixty-one".