161736 has 32 divisors (see below), whose sum is σ = 423360. Its totient is φ = 51392.

The previous prime is 161731. The next prime is 161741. The reversal of 161736 is 637161.

It is an interprime number because it is at equal distance from previous prime (161731) and next prime (161741).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (161731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 406 + ... + 698.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2¹⁶¹⁷³⁶ 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 161736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680).

161736 is an abundant number, since it is smaller than the sum of its proper divisors (261624).

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

161736 is a wasteful number, since it uses less digits than its factorization.

161736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 321 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 161736 is about 402.1641455923. The cubic root of 161736 is about 54.4839893491.

Adding to 161736 its reverse (637161), we get a palindrome (798897).

It can be divided in two parts, 1617 and 36, that added together give a triangular number (1653 = T₅₇).

The spelling of 161736 in words is "one hundred sixty-one thousand, seven hundred thirty-six".