958648041 has 40 divisors (see below), whose sum is σ = 1595443080. Its totient is φ = 569576448.

The previous prime is 958647997. The next prime is 958648081. The reversal of 958648041 is 140846859.

958648041 is a `hidden beast` number, since 95 + 86 + 480 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 268009641 + 690638400 = 16371^2 + 26280^2 .

It is not a de Polignac number, because 958648041 - 2¹⁹ = 958123753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (958648081) 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 39 ways as a sum of consecutive naturals, for example, 14841 + ... + 46233.

It is an arithmetic number, because the mean of its divisors is an integer number (39886077).

Almost surely, 2^958648041 is an apocalyptic number.

It is an amenable number.

958648041 is a deficient number, since it is larger than the sum of its proper divisors (636795039).

958648041 is a wasteful number, since it uses less digits than its factorization.

958648041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31447 (or 31438 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 958648041 is about 30962.0419384769. The cubic root of 958648041 is about 986.0215263964.

The spelling of 958648041 in words is "nine hundred fifty-eight million, six hundred forty-eight thousand, forty-one".