165213315 has 48 divisors (see below), whose sum is σ = 293835360. Its totient is φ = 85847040.

The previous prime is 165213311. The next prime is 165213329. The reversal of 165213315 is 513312561.

165213315 is a `hidden beast` number, since 1 + 652 + 1 + 3 + 3 + 1 + 5 = 666.

165213315 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 165213315 - 2² = 165213311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (165213311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 381339 + ... + 381771.

It is an arithmetic number, because the mean of its divisors is an integer number (6121570).

Almost surely, 2^165213315 is an apocalyptic number.

165213315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

165213315 is a deficient number, since it is larger than the sum of its proper divisors (128622045).

165213315 is a wasteful number, since it uses less digits than its factorization.

165213315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 641 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 165213315 is about 12853.5331718559. The cubic root of 165213315 is about 548.7169153799.

Adding to 165213315 its reverse (513312561), we get a palindrome (678525876).

The spelling of 165213315 in words is "one hundred sixty-five million, two hundred thirteen thousand, three hundred fifteen".