867347602001 has 32 divisors (see below), whose sum is σ = 899040987936. Its totient is φ = 836239360000.

The previous prime is 867347601973. The next prime is 867347602003. The reversal of 867347602001 is 100206743768.

867347602001 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 16 ways, for example, as 94987856401 + 772359745600 = 308201^2 + 878840^2 .

It is a 6-Lehmer number, since φ(867347602001) divides (867347602001-1)⁶.

It is a cyclic number.

It is not a de Polignac number, because 867347602001 - 2¹⁴ = 867347585617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (867347602003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 984503081 + ... + 984503961.

It is an arithmetic number, because the mean of its divisors is an integer number (28095030873).

It is a Poulet number, since it divides 2^867347602000-1.

Almost surely, 2^867347602001 is an apocalyptic number.

It is an amenable number.

867347602001 is a deficient number, since it is larger than the sum of its proper divisors (31693385935).

867347602001 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (867347602000) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1813).

867347602001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813.

The product of its (nonzero) digits is 338688, while the sum is 44.

The spelling of 867347602001 in words is "eight hundred sixty-seven billion, three hundred forty-seven million, six hundred two thousand, one".