90835329321 has 27 divisors (see below), whose sum is σ = 144234602967. Its totient is φ = 55045686960.

The previous prime is 90835329293. The next prime is 90835329329. The reversal of 90835329321 is 12392353809.

The square root of 90835329321 is 301389.

It is a perfect power (a square), and thus also a powerful number.

90835329321 is a `hidden beast` number, since 9 + 0 + 8 + 3 + 532 + 93 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72600608025 + 18234721296 = 269445^2 + 135036^2 .

It is not a de Polignac number, because 90835329321 - 2⁹ = 90835328809 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (90835329329) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9941271 + ... + 9950403.

Almost surely, 2^90835329321 is an apocalyptic number.

90835329321 is the 301389-th square number.

90835329321 is the 150695-th centered octagonal number.

It is an amenable number.

90835329321 is a deficient number, since it is larger than the sum of its proper divisors (53399273646).

90835329321 is an frugal number, since it uses more digits than its factorization.

90835329321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18294 (or 9147 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 90835329321 in words is "ninety billion, eight hundred thirty-five million, three hundred twenty-nine thousand, three hundred twenty-one".