967036041 has 36 divisors (see below), whose sum is σ = 1528477236. Its totient is φ = 587105280.

The previous prime is 967036003. The next prime is 967036043. The reversal of 967036041 is 140630769.

967036041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 885657600 + 81378441 = 29760^2 + 9021^2 .

It is not a de Polignac number, because 967036041 - 2²¹ = 964938889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 967035987 and 967036005.

It is not an unprimeable number, because it can be changed into a prime (967036043) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 143745 + ... + 150321.

It is an arithmetic number, because the mean of its divisors is an integer number (42457701).

Almost surely, 2^967036041 is an apocalyptic number.

It is an amenable number.

967036041 is a deficient number, since it is larger than the sum of its proper divisors (561441195).

967036041 is a wasteful number, since it uses less digits than its factorization.

967036041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6662 (or 6628 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 967036041 is about 31097.2031057457. The cubic root of 967036041 is about 988.8890169540.

The spelling of 967036041 in words is "nine hundred sixty-seven million, thirty-six thousand, forty-one".