845916201 has 12 divisors (see below), whose sum is σ = 1315869828. Its totient is φ = 520563744.

The previous prime is 845916193. The next prime is 845916221. The reversal of 845916201 is 102619548.

845916201 is a `hidden beast` number, since 8 + 4 + 591 + 62 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56250000 + 789666201 = 7500^2 + 28101^2 .

It is not a de Polignac number, because 845916201 - 2³ = 845916193 is a prime.

It is a super-2 number, since 2×845916201² = 1431148438228544802, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (845916221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3614910 + ... + 3615143.

It is an arithmetic number, because the mean of its divisors is an integer number (109655819).

Almost surely, 2^845916201 is an apocalyptic number.

It is an amenable number.

845916201 is a deficient number, since it is larger than the sum of its proper divisors (469953627).

845916201 is a wasteful number, since it uses less digits than its factorization.

845916201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7230072 (or 7230069 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 845916201 is about 29084.6385743402. The cubic root of 845916201 is about 945.7487607321.

The spelling of 845916201 in words is "eight hundred forty-five million, nine hundred sixteen thousand, two hundred one".