1967974001 has 32 divisors (see below), whose sum is σ = 2482944000. Its totient is φ = 1520830080.

The previous prime is 1967973979. The next prime is 1967974037. The reversal of 1967974001 is 1004797691.

It is not a de Polignac number, because 1967974001 - 2⁶ = 1967973937 is a prime.

It is a super-2 number, since 2×1967974001² = 7745843337223896002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1967974051) 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 31 ways as a sum of consecutive naturals, for example, 643925 + ... + 646973.

It is an arithmetic number, because the mean of its divisors is an integer number (77592000).

Almost surely, 2^1967974001 is an apocalyptic number.

It is an amenable number.

1967974001 is a deficient number, since it is larger than the sum of its proper divisors (514969999).

1967974001 is a wasteful number, since it uses less digits than its factorization.

1967974001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309.

The product of its (nonzero) digits is 95256, while the sum is 44.

The square root of 1967974001 is about 44361.8529933095. The cubic root of 1967974001 is about 1253.1597927177.

The spelling of 1967974001 in words is "one billion, nine hundred sixty-seven million, nine hundred seventy-four thousand, one".