161008 has 20 divisors (see below), whose sum is σ = 323640. Its totient is φ = 77504.

The previous prime is 160997. The next prime is 161009. The reversal of 161008 is 800161.

161008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 160982 and 161000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161009) by changing a digit.

161008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 291 + ... + 637.

It is an arithmetic number, because the mean of its divisors is an integer number (16182).

2¹⁶¹⁰⁰⁸ is an apocalyptic number.

161008 is the 232-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161820).

161008 is an abundant number, since it is smaller than the sum of its proper divisors (162632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

161008 is a wasteful number, since it uses less digits than its factorization.

161008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 161008 is about 401.2580217267. The cubic root of 161008 is about 54.4021192946.

Adding to 161008 its reverse (800161), we get a palindrome (961169).

It can be divided in two parts, 16 and 1008, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 161008 in words is "one hundred sixty-one thousand, eight".