845123041 has 9 divisors (see below), whose sum is σ = 983339091. Its totient is φ = 724216752.

The previous prime is 845123033. The next prime is 845123077. The reversal of 845123041 is 140321548.

The square root of 845123041 is 29071.

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

It can be written as a sum of positive squares in only one way, i.e., 10144225 + 834978816 = 3185^2 + 28896^2 .

It is not a de Polignac number, because 845123041 - 2³ = 845123033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (845123141) 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 8 ways as a sum of consecutive naturals, for example, 201421 + ... + 205573.

It is an arithmetic number, because the mean of its divisors is an integer number (109259899).

Almost surely, 2^845123041 is an apocalyptic number.

845123041 is the 29071-st square number.

845123041 is the 14536-th centered octagonal number.

It is an amenable number.

845123041 is a deficient number, since it is larger than the sum of its proper divisors (138216050).

845123041 is an frugal number, since it uses more digits than its factorization.

845123041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8320 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The cubic root of 845123041 is about 945.4530794902.

Adding to 845123041 its reverse (140321548), we get a palindrome (985444589).

The spelling of 845123041 in words is "eight hundred forty-five million, one hundred twenty-three thousand, forty-one".