147564961 has 2 divisors, whose sum is σ = 147564962. Its totient is φ = 147564960.

The previous prime is 147564931. The next prime is 147564971. The reversal of 147564961 is 169465741.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74718736 + 72846225 = 8644^2 + 8535^2 .

It is a cyclic number.

It is not a de Polignac number, because 147564961 - 2²⁷ = 13347233 is a prime.

It is not a weakly prime, because it can be changed into another prime (147564931) 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 as a sum of consecutive naturals, namely, 73782480 + 73782481.

It is an arithmetic number, because the mean of its divisors is an integer number (73782481).

Almost surely, 2^147564961 is an apocalyptic number.

It is an amenable number.

147564961 is a deficient number, since it is larger than the sum of its proper divisors (1).

147564961 is an equidigital number, since it uses as much as digits as its factorization.

147564961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 181440, while the sum is 43.

The square root of 147564961 is about 12147.6319091418. The cubic root of 147564961 is about 528.4384570137.

The spelling of 147564961 in words is "one hundred forty-seven million, five hundred sixty-four thousand, nine hundred sixty-one".