90853201 has 8 divisors (see below), whose sum is σ = 94329000. Its totient is φ = 87400320.

The previous prime is 90853187. The next prime is 90853223. The reversal of 90853201 is 10235809.

It can be written as a sum of positive squares in 4 ways, for example, as 13395600 + 77457601 = 3660^2 + 8801^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 90853201 - 2¹⁷ = 90722129 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 90853201.

It is not an unprimeable number, because it can be changed into a prime (90853261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2575 + ... + 13723.

It is an arithmetic number, because the mean of its divisors is an integer number (11791125).

Almost surely, 2^90853201 is an apocalyptic number.

It is an amenable number.

90853201 is a deficient number, since it is larger than the sum of its proper divisors (3475799).

90853201 is a wasteful number, since it uses less digits than its factorization.

90853201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11459.

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 90853201 is about 9531.6945502885. The cubic root of 90853201 is about 449.5521486736.

The spelling of 90853201 in words is "ninety million, eight hundred fifty-three thousand, two hundred one".