967857201 has 24 divisors (see below), whose sum is σ = 1468059360. Its totient is φ = 630200088.

The previous prime is 967857199. The next prime is 967857263. The reversal of 967857201 is 102758769.

967857201 is a `hidden beast` number, since 9 + 6 + 78 + 572 + 0 + 1 = 666.

It is not a de Polignac number, because 967857201 - 2¹ = 967857199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (967857601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40230 + ... + 59616.

It is an arithmetic number, because the mean of its divisors is an integer number (61169140).

Almost surely, 2^967857201 is an apocalyptic number.

It is an amenable number.

967857201 is a deficient number, since it is larger than the sum of its proper divisors (500202159).

967857201 is a wasteful number, since it uses less digits than its factorization.

967857201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19482 (or 19433 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 967857201 is about 31110.4034207209. The cubic root of 967857201 is about 989.1688432589.

The spelling of 967857201 in words is "nine hundred sixty-seven million, eight hundred fifty-seven thousand, two hundred one".