165013 has 4 divisors (see below), whose sum is σ = 170368. Its totient is φ = 159660.

The previous prime is 165001. The next prime is 165037. The reversal of 165013 is 310561.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 310561 = 29 ⋅10709.

It is a cyclic number.

It is not a de Polignac number, because 165013 - 2¹⁷ = 33941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165083) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2631 + ... + 2692.

It is an arithmetic number, because the mean of its divisors is an integer number (42592).

2¹⁶⁵⁰¹³ is an apocalyptic number.

It is an amenable number.

165013 is a deficient number, since it is larger than the sum of its proper divisors (5355).

165013 is an equidigital number, since it uses as much as digits as its factorization.

165013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5354.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 165013 is about 406.2179218104. The cubic root of 165013 is about 54.8495059407.

Adding to 165013 its reverse (310561), we get a palindrome (475574).

It can be divided in two parts, 16 and 5013, that multiplied together give a palindrome (80208).

The spelling of 165013 in words is "one hundred sixty-five thousand, thirteen".