967006541 has 2 divisors, whose sum is σ = 967006542. Its totient is φ = 967006540.

The previous prime is 967006493. The next prime is 967006543. The reversal of 967006541 is 145600769.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 966277225 + 729316 = 31085^2 + 854^2 .

It is a cyclic number.

It is not a de Polignac number, because 967006541 - 2¹⁰ = 967005517 is a prime.

Together with 967006543, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 967006495 and 967006504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (967006543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483503270 + 483503271.

It is an arithmetic number, because the mean of its divisors is an integer number (483503271).

Almost surely, 2^967006541 is an apocalyptic number.

It is an amenable number.

967006541 is a deficient number, since it is larger than the sum of its proper divisors (1).

967006541 is an equidigital number, since it uses as much as digits as its factorization.

967006541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 967006541 is about 31096.7287829444. The cubic root of 967006541 is about 988.8789613058.

The spelling of 967006541 in words is "nine hundred sixty-seven million, six thousand, five hundred forty-one".