978121201 has 8 divisors (see below), whose sum is σ = 1005725160. Its totient is φ = 950856192.

The previous prime is 978121169. The next prime is 978121217. The reversal of 978121201 is 102121879.

It can be written as a sum of positive squares in 4 ways, for example, as 369216225 + 608904976 = 19215^2 + 24676^2 .

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 978121201 - 2⁵ = 978121169 is a prime.

It is a super-4 number, since 4×978121201⁴ (a number of 37 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (978121241) 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 7 ways as a sum of consecutive naturals, for example, 78880 + ... + 90433.

It is an arithmetic number, because the mean of its divisors is an integer number (125715645).

Almost surely, 2^978121201 is an apocalyptic number.

It is an amenable number.

978121201 is a deficient number, since it is larger than the sum of its proper divisors (27603959).

978121201 is a wasteful number, since it uses less digits than its factorization.

978121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169475.

The product of its (nonzero) digits is 2016, while the sum is 31.

The square root of 978121201 is about 31274.9292725020. The cubic root of 978121201 is about 992.6532240644.

The spelling of 978121201 in words is "nine hundred seventy-eight million, one hundred twenty-one thousand, two hundred one".