967147801 has 9 divisors (see below), whose sum is σ = 978569599. Its totient is φ = 955858864.

The previous prime is 967147733. The next prime is 967147859. The reversal of 967147801 is 108741769.

The square root of 967147801 is 31099.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 568107225 + 399040576 = 23835^2 + 19976^2 .

It is not a de Polignac number, because 967147801 - 2¹³ = 967139609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (967147891) 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 8 ways as a sum of consecutive naturals, for example, 4260450 + ... + 4260676.

Almost surely, 2^967147801 is an apocalyptic number.

967147801 is the 31099-th square number.

967147801 is the 15550-th centered octagonal number.

It is an amenable number.

967147801 is a deficient number, since it is larger than the sum of its proper divisors (11421798).

967147801 is an frugal number, since it uses more digits than its factorization.

967147801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 43.

The cubic root of 967147801 is about 988.9271106667.

The spelling of 967147801 in words is "nine hundred sixty-seven million, one hundred forty-seven thousand, eight hundred one".