967037041 has 2 divisors, whose sum is σ = 967037042. Its totient is φ = 967037040.

The previous prime is 967037009. The next prime is 967037077. The reversal of 967037041 is 140730769.

967037041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 964723600 + 2313441 = 31060^2 + 1521^2 .

It is a cyclic number.

It is not a de Polignac number, because 967037041 - 2⁵ = 967037009 is a prime.

It is equal to p_49255561 and since 967037041 and 49255561 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (967037441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483518520 + 483518521.

It is an arithmetic number, because the mean of its divisors is an integer number (483518521).

Almost surely, 2^967037041 is an apocalyptic number.

It is an amenable number.

967037041 is a deficient number, since it is larger than the sum of its proper divisors (1).

967037041 is an equidigital number, since it uses as much as digits as its factorization.

967037041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 967037041 is about 31097.2191843579. The cubic root of 967037041 is about 988.8893578198.

The spelling of 967037041 in words is "nine hundred sixty-seven million, thirty-seven thousand, forty-one".