161936 has 20 divisors (see below), whose sum is σ = 325500. Its totient is φ = 77952.

The previous prime is 161923. The next prime is 161947. The reversal of 161936 is 639161.

It can be written as a sum of positive squares in 2 ways, for example, as 102400 + 59536 = 320^2 + 244^2 .

It is an unprimeable number.

161936 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 290 + ... + 638.

It is an arithmetic number, because the mean of its divisors is an integer number (16275).

2¹⁶¹⁹³⁶ is an apocalyptic number.

161936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162750).

161936 is an abundant number, since it is smaller than the sum of its proper divisors (163564).

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

161936 is a wasteful number, since it uses less digits than its factorization.

161936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its digits is 972, while the sum is 26.

The square root of 161936 is about 402.4127234569. The cubic root of 161936 is about 54.5064380914.

It can be divided in two parts, 16 and 1936, that multiplied together give a square (30976 = 176²).

The spelling of 161936 in words is "one hundred sixty-one thousand, nine hundred thirty-six".