967144001 has 2 divisors, whose sum is σ = 967144002. Its totient is φ = 967144000.

The previous prime is 967143973. The next prime is 967144027. The reversal of 967144001 is 100441769.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 558093376 + 409050625 = 23624^2 + 20225^2 .

It is a cyclic number.

It is not a de Polignac number, because 967144001 - 2¹⁰ = 967142977 is a prime.

It is not a weakly prime, because it can be changed into another prime (967144091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483572000 + 483572001.

It is an arithmetic number, because the mean of its divisors is an integer number (483572001).

Almost surely, 2^967144001 is an apocalyptic number.

It is an amenable number.

967144001 is a deficient number, since it is larger than the sum of its proper divisors (1).

967144001 is an equidigital number, since it uses as much as digits as its factorization.

967144001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 967144001 is about 31098.9389047279. The cubic root of 967144001 is about 988.9258154741.

The spelling of 967144001 in words is "nine hundred sixty-seven million, one hundred forty-four thousand, one".