845937225 has 81 divisors (see below), whose sum is σ = 1768927797. Its totient is φ = 385318080.

The previous prime is 845937223. The next prime is 845937227. The reversal of 845937225 is 522739548.

The square root of 845937225 is 29085.

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

It is an interprime number because it is at equal distance from previous prime (845937223) and next prime (845937227).

It can be written as a sum of positive squares in 4 ways, for example, as 193849929 + 652087296 = 13923^2 + 25536^2 .

It is not a de Polignac number, because 845937225 - 2¹ = 845937223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (845937223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3053787 + ... + 3054063.

Almost surely, 2^845937225 is an apocalyptic number.

845937225 is the 29085-th square number.

845937225 is the 14543-rd centered octagonal number.

It is an amenable number.

845937225 is an abundant number, since it is smaller than the sum of its proper divisors (922990572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

845937225 is a wasteful number, since it uses less digits than its factorization.

845937225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 292 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The cubic root of 845937225 is about 945.7565957309.

The spelling of 845937225 in words is "eight hundred forty-five million, nine hundred thirty-seven thousand, two hundred twenty-five".