161585 has 8 divisors (see below), whose sum is σ = 205416. Its totient is φ = 121600.

The previous prime is 161573. The next prime is 161591. The reversal of 161585 is 585161.

161585 = T₈₀ + T₈₁ + ... + T₁₁₃.

It can be written as a sum of positive squares in 4 ways, for example, as 7921 + 153664 = 89^2 + 392^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 161585 - 2⁴ = 161569 is a prime.

It is a super-2 number, since 2×161585² = 52219424450, which contains 22 as substring.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 161585.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 866 + ... + 1035.

It is an arithmetic number, because the mean of its divisors is an integer number (25677).

2¹⁶¹⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

161585 is a deficient number, since it is larger than the sum of its proper divisors (43831).

161585 is a wasteful number, since it uses less digits than its factorization.

161585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923.

The product of its digits is 1200, while the sum is 26.

The square root of 161585 is about 401.9763674646. The cubic root of 161585 is about 54.4670282849.

The spelling of 161585 in words is "one hundred sixty-one thousand, five hundred eighty-five".