165613 has 8 divisors (see below), whose sum is σ = 192960. Its totient is φ = 139200.

The previous prime is 165611. The next prime is 165617. The reversal of 165613 is 316561.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 165613 - 2¹ = 165611 is a prime.

It is a Duffinian number.

165613 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213 + ... + 613.

It is an arithmetic number, because the mean of its divisors is an integer number (24120).

2¹⁶⁵⁶¹³ is an apocalyptic number.

It is an amenable number.

165613 is a deficient number, since it is larger than the sum of its proper divisors (27347).

165613 is an equidigital number, since it uses as much as digits as its factorization.

165613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467.

The product of its digits is 540, while the sum is 22.

The square root of 165613 is about 406.9557715526. The cubic root of 165613 is about 54.9159045407.

It can be divided in two parts, 1656 and 13, that multiplied together give a triangular number (21528 = T₂₀₇).

The spelling of 165613 in words is "one hundred sixty-five thousand, six hundred thirteen".