165940 has 12 divisors (see below), whose sum is σ = 348516. Its totient is φ = 66368.

The previous prime is 165931. The next prime is 165941. The reversal of 165940 is 49561.

It can be written as a sum of positive squares in 2 ways, for example, as 126736 + 39204 = 356^2 + 198^2 .

It is an Ulam number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165941) by changing a digit.

165940 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4129 + ... + 4168.

It is an arithmetic number, because the mean of its divisors is an integer number (29043).

2¹⁶⁵⁹⁴⁰ is an apocalyptic number.

165940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165940 is an abundant number, since it is smaller than the sum of its proper divisors (182576).

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

165940 is a wasteful number, since it uses less digits than its factorization.

165940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8306 (or 8304 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 165940 is about 407.3573369905. The cubic root of 165940 is about 54.9520242793.

The spelling of 165940 in words is "one hundred sixty-five thousand, nine hundred forty".