7958041 has 27 divisors (see below), whose sum is σ = 10357983. Its totient is φ = 6093360.

The previous prime is 7958039. The next prime is 7958047. The reversal of 7958041 is 1408597.

It is a happy number.

The square root of 7958041 is 2821.

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., 1177225 + 6780816 = 1085^2 + 2604^2 .

It is not a de Polignac number, because 7958041 - 2¹ = 7958039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7957988 and 7958006.

It is not an unprimeable number, because it can be changed into a prime (7958047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 256696 + ... + 256726.

It is an arithmetic number, because the mean of its divisors is an integer number (383629).

Almost surely, 2^7958041 is an apocalyptic number.

7958041 is the 2821-st square number.

7958041 is the 1411-st centered octagonal number.

It is an amenable number.

7958041 is a deficient number, since it is larger than the sum of its proper divisors (2399942).

7958041 is a wasteful number, since it uses less digits than its factorization.

7958041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The cubic root of 7958041 is about 199.6497285744.

It can be divided in two parts, 795 and 8041, that added together give a square (8836 = 94²).

The spelling of 7958041 in words is "seven million, nine hundred fifty-eight thousand, forty-one".