845006761 has 9 divisors (see below), whose sum is σ = 867342693. Its totient is φ = 823234080.

The previous prime is 845006753. The next prime is 845006783. The reversal of 845006761 is 167600548.

The square root of 845006761 is 29069.

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

845006761 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 4 ways, for example, as 579316761 + 265690000 = 24069^2 + 16300^2 .

It is not a de Polignac number, because 845006761 - 2³ = 845006753 is a prime.

It is a super-2 number, since 2×845006761² = 1428072852271422242, which contains 22 as substring.

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 845006761.

It is not an unprimeable number, because it can be changed into a prime (845004761) 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, 1191475 + ... + 1192183.

Almost surely, 2^845006761 is an apocalyptic number.

845006761 is the 29069-th square number.

845006761 is the 14535-th centered octagonal number.

It is an amenable number.

845006761 is a deficient number, since it is larger than the sum of its proper divisors (22335932).

845006761 is an frugal number, since it uses more digits than its factorization.

845006761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The cubic root of 845006761 is about 945.4097160503.

The spelling of 845006761 in words is "eight hundred forty-five million, six thousand, seven hundred sixty-one".