845444097 has 36 divisors (see below), whose sum is σ = 1283667840. Its totient is φ = 536145456.

The previous prime is 845444087. The next prime is 845444107. The reversal of 845444097 is 790444548.

It is an interprime number because it is at equal distance from previous prime (845444087) and next prime (845444107).

It is not a de Polignac number, because 845444097 - 2¹⁶ = 845378561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (845444077) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1137508 + ... + 1138250.

It is an arithmetic number, because the mean of its divisors is an integer number (35657440).

Almost surely, 2^845444097 is an apocalyptic number.

It is an amenable number.

845444097 is a deficient number, since it is larger than the sum of its proper divisors (438223743).

845444097 is a wasteful number, since it uses less digits than its factorization.

845444097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 845444097 is about 29076.5214047348. The cubic root of 845444097 is about 945.5727878795.

The spelling of 845444097 in words is "eight hundred forty-five million, four hundred forty-four thousand, ninety-seven".