981605601 has 32 divisors (see below), whose sum is σ = 1525651200. Its totient is φ = 622903680.

The previous prime is 981605587. The next prime is 981605699. The reversal of 981605601 is 106506189.

981605601 is a `hidden beast` number, since 98 + 1 + 6 + 0 + 560 + 1 = 666.

It is not a de Polignac number, because 981605601 - 2¹⁰ = 981604577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (981605101) 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 31 ways as a sum of consecutive naturals, for example, 46765 + ... + 64421.

It is an arithmetic number, because the mean of its divisors is an integer number (47676600).

Almost surely, 2^981605601 is an apocalyptic number.

It is an amenable number.

981605601 is a deficient number, since it is larger than the sum of its proper divisors (544045599).

981605601 is a wasteful number, since it uses less digits than its factorization.

981605601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17766 (or 17760 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 981605601 is about 31330.5857110907. The cubic root of 981605601 is about 993.8305498253.

The spelling of 981605601 in words is "nine hundred eighty-one million, six hundred five thousand, six hundred one".