161364 has 48 divisors (see below), whose sum is σ = 459648. Its totient is φ = 43008.

The previous prime is 161363. The next prime is 161377. The reversal of 161364 is 463161.

161364 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 (21).

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

Its product of digits (432) is a multiple of the sum of its prime factors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 161364.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 161364.

It is not an unprimeable number, because it can be changed into a prime (161363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1372 + ... + 1484.

It is an arithmetic number, because the mean of its divisors is an integer number (9576).

2¹⁶¹³⁶⁴ is an apocalyptic number.

161364 is a gapful number since it is divisible by the number (14) 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 161364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229824).

161364 is an abundant number, since it is smaller than the sum of its proper divisors (298284).

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

161364 is a wasteful number, since it uses less digits than its factorization.

161364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 142 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 161364 is about 401.7013816257. The cubic root of 161364 is about 54.4421854154.

It can be divided in two parts, 161 and 364, that added together give a palindrome (525).

The spelling of 161364 in words is "one hundred sixty-one thousand, three hundred sixty-four".