161964 has 36 divisors (see below), whose sum is σ = 447720. Its totient is φ = 48960.

The previous prime is 161957. The next prime is 161969. The reversal of 161964 is 469161.

161964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (161969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192 + ... + 600.

2¹⁶¹⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223860).

161964 is an abundant number, since it is smaller than the sum of its proper divisors (285756).

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

161964 is a wasteful number, since it uses less digits than its factorization.

161964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 425 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 161964 is about 402.4475121056. The cubic root of 161964 is about 54.5095794401.

The spelling of 161964 in words is "one hundred sixty-one thousand, nine hundred sixty-four".