147646801 has 9 divisors (see below), whose sum is σ = 153279451. Its totient is φ = 142215304.

The previous prime is 147646783. The next prime is 147646823. The reversal of 147646801 is 108646741.

It is a happy number.

The square root of 147646801 is 12151.

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., 77422401 + 70224400 = 8799^2 + 8380^2 .

It is a de Polignac number, because none of the positive numbers 2^k-147646801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (147646841) 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, 352170 + ... + 352588.

Almost surely, 2^147646801 is an apocalyptic number.

147646801 is the 12151-st square number.

147646801 is the 6076-th centered octagonal number.

It is an amenable number.

147646801 is a deficient number, since it is larger than the sum of its proper divisors (5632650).

147646801 is an frugal number, since it uses more digits than its factorization.

147646801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The cubic root of 147646801 is about 528.5361301796.

The spelling of 147646801 in words is "one hundred forty-seven million, six hundred forty-six thousand, eight hundred one".