165700 has 18 divisors (see below), whose sum is σ = 359786. Its totient is φ = 66240.

The previous prime is 165673. The next prime is 165701. The reversal of 165700 is 7561.

It can be written as a sum of positive squares in 3 ways, for example, as 4096 + 161604 = 64^2 + 402^2 .

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (165701) by changing a digit.

165700 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 5 ways as a sum of consecutive naturals, for example, 729 + ... + 928.

2¹⁶⁵⁷⁰⁰ is an apocalyptic number.

165700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165700 is an abundant number, since it is smaller than the sum of its proper divisors (194086).

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

165700 is a wasteful number, since it uses less digits than its factorization.

165700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 165700 is about 407.0626487410. The cubic root of 165700 is about 54.9255190181.

The spelling of 165700 in words is "one hundred sixty-five thousand, seven hundred".