165577 has 6 divisors (see below), whose sum is σ = 173642. Its totient is φ = 157872.

The previous prime is 165569. The next prime is 165587. The reversal of 165577 is 775561.

It can be written as a sum of positive squares in only one way, i.e., 89401 + 76176 = 299^2 + 276^2 .

It is not a de Polignac number, because 165577 - 2³ = 165569 is a prime.

It is a Duffinian number.

165577 is a lucky 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 (165527) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 373 + ... + 685.

2¹⁶⁵⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

165577 is a deficient number, since it is larger than the sum of its proper divisors (8065).

165577 is an equidigital number, since it uses as much as digits as its factorization.

165577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 336 counting only the distinct ones).

The product of its digits is 7350, while the sum is 31.

The square root of 165577 is about 406.9115382979. The cubic root of 165577 is about 54.9119251514.

The spelling of 165577 in words is "one hundred sixty-five thousand, five hundred seventy-seven".