90181345 has 32 divisors (see below), whose sum is σ = 118933920. Its totient is φ = 65372160.

The previous prime is 90181331. The next prime is 90181369. The reversal of 90181345 is 54318109.

It can be written as a sum of positive squares in 16 ways, for example, as 34245904 + 55935441 = 5852^2 + 7479^2 .

It is not a de Polignac number, because 90181345 - 2⁵ = 90181313 is a prime.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 393691 + ... + 393919.

It is an arithmetic number, because the mean of its divisors is an integer number (3716685).

It is the magic constant of a 565 × 565 magic square.

Almost surely, 2^90181345 is an apocalyptic number.

It is an amenable number.

90181345 is a deficient number, since it is larger than the sum of its proper divisors (28752575).

90181345 is a wasteful number, since it uses less digits than its factorization.

90181345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405.

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 90181345 is about 9496.3858914852. The cubic root of 90181345 is about 448.4412654404.

The spelling of 90181345 in words is "ninety million, one hundred eighty-one thousand, three hundred forty-five".