163585961 has 32 divisors (see below), whose sum is σ = 210124800. Its totient is φ = 126243600.

The previous prime is 163585943. The next prime is 163585967. The reversal of 163585961 is 169585361.

It is not a de Polignac number, because 163585961 - 2¹⁴ = 163569577 is a prime.

It is a Duffinian number.

Its product of digits (194400) is a multiple of the sum of its prime factors (450).

It is not an unprimeable number, because it can be changed into a prime (163585967) 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, 720530 + ... + 720756.

It is an arithmetic number, because the mean of its divisors is an integer number (6566400).

Almost surely, 2^163585961 is an apocalyptic number.

163585961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

163585961 is a deficient number, since it is larger than the sum of its proper divisors (46538839).

163585961 is a wasteful number, since it uses less digits than its factorization.

163585961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 436 counting only the distinct ones).

The product of its digits is 194400, while the sum is 44.

The square root of 163585961 is about 12790.0727519432. The cubic root of 163585961 is about 546.9093437632.

The spelling of 163585961 in words is "one hundred sixty-three million, five hundred eighty-five thousand, nine hundred sixty-one".