165393 has 24 divisors (see below), whose sum is σ = 269568. Its totient is φ = 97152.

The previous prime is 165391. The next prime is 165397. The reversal of 165393 is 393561.

165393 is a `hidden beast` number, since 1 + 653 + 9 + 3 = 666.

It is not a de Polignac number, because 165393 - 2¹ = 165391 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (2430) is a multiple of the sum of its prime divisors (90).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3496 + ... + 3542.

It is an arithmetic number, because the mean of its divisors is an integer number (11232).

2¹⁶⁵³⁹³ is an apocalyptic number.

It is an amenable number.

165393 is a deficient number, since it is larger than the sum of its proper divisors (104175).

165393 is a wasteful number, since it uses less digits than its factorization.

165393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 90 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 165393 is about 406.6853820830. The cubic root of 165393 is about 54.8915770370.

The spelling of 165393 in words is "one hundred sixty-five thousand, three hundred ninety-three".