160965 has 36 divisors (see below), whose sum is σ = 329004. Its totient is φ = 72576.

The previous prime is 160933. The next prime is 160967. The reversal of 160965 is 569061.

160965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 74529 + 86436 = 273^2 + 294^2 .

It is not a de Polignac number, because 160965 - 2⁵ = 160933 is a prime.

160965 is a lucky number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160967) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2169 + ... + 2241.

It is an arithmetic number, because the mean of its divisors is an integer number (9139).

2¹⁶⁰⁹⁶⁵ is an apocalyptic number.

160965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

160965 is an abundant number, since it is smaller than the sum of its proper divisors (168039).

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

160965 is a wasteful number, since it uses less digits than its factorization.

160965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 160965 is about 401.2044366654. The cubic root of 160965 is about 54.3972758512.

The spelling of 160965 in words is "one hundred sixty thousand, nine hundred sixty-five".