967974001 has 8 divisors (see below), whose sum is σ = 994132800. Its totient is φ = 942140400.

The previous prime is 967973969. The next prime is 967974013. The reversal of 967974001 is 100479769.

It is a happy number.

967974001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 967974001 - 2⁵ = 967973969 is a prime.

It is a super-2 number, since 2×967974001² = 1873947333223896002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (967974401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75261 + ... + 87178.

It is an arithmetic number, because the mean of its divisors is an integer number (124266600).

Almost surely, 2^967974001 is an apocalyptic number.

It is an amenable number.

967974001 is a deficient number, since it is larger than the sum of its proper divisors (26158799).

967974001 is a wasteful number, since it uses less digits than its factorization.

967974001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162599.

The product of its (nonzero) digits is 95256, while the sum is 43.

The square root of 967974001 is about 31112.2805496479. The cubic root of 967974001 is about 989.2086322807.

The spelling of 967974001 in words is "nine hundred sixty-seven million, nine hundred seventy-four thousand, one".