161584 has 10 divisors (see below), whose sum is σ = 313100. Its totient is φ = 80784.

The previous prime is 161573. The next prime is 161591. The reversal of 161584 is 485161.

161584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×161584² = 52218778112, which contains 22 as substring.

161584 is a modest number, since divided by 1584 gives 16 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5034 + ... + 5065.

It is an arithmetic number, because the mean of its divisors is an integer number (31310).

2¹⁶¹⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

161584 is a deficient number, since it is larger than the sum of its proper divisors (151516).

161584 is a wasteful number, since it uses less digits than its factorization.

161584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10107 (or 10101 counting only the distinct ones).

The product of its digits is 960, while the sum is 25.

The square root of 161584 is about 401.9751236084. The cubic root of 161584 is about 54.4669159247.

It can be divided in two parts, 16 and 1584, that added together give a square (1600 = 40²).

The spelling of 161584 in words is "one hundred sixty-one thousand, five hundred eighty-four".