165315 has 16 divisors (see below), whose sum is σ = 269568. Its totient is φ = 86496.

The previous prime is 165313. The next prime is 165317. The reversal of 165315 is 513561.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (165313) and next prime (165317).

It is not a de Polignac number, because 165315 - 2¹ = 165313 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 165291 and 165300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1492 + ... + 1598.

It is an arithmetic number, because the mean of its divisors is an integer number (16848).

2¹⁶⁵³¹⁵ is an apocalyptic number.

165315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

165315 is a deficient number, since it is larger than the sum of its proper divisors (104253).

165315 is a wasteful number, since it uses less digits than its factorization.

165315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218.

The product of its digits is 450, while the sum is 21.

The square root of 165315 is about 406.5894735480. The cubic root of 165315 is about 54.8829466511.

Adding to 165315 its reverse (513561), we get a palindrome (678876).

The spelling of 165315 in words is "one hundred sixty-five thousand, three hundred fifteen".