165407 has 6 divisors (see below), whose sum is σ = 181944. Its totient is φ = 150260.

The previous prime is 165397. The next prime is 165437. The reversal of 165407 is 704561.

165407 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 165407 - 2⁴ = 165391 is a prime.

It is a Duffinian number.

165407 is a modest number, since divided by 407 gives 165 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165437) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 563 + ... + 804.

It is an arithmetic number, because the mean of its divisors is an integer number (30324).

2¹⁶⁵⁴⁰⁷ is an apocalyptic number.

165407 is a deficient number, since it is larger than the sum of its proper divisors (16537).

165407 is a wasteful number, since it uses less digits than its factorization.

165407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 165407 is about 406.7025940414. The cubic root of 165407 is about 54.8931257934.

Adding to 165407 its reverse (704561), we get a palindrome (869968).

The spelling of 165407 in words is "one hundred sixty-five thousand, four hundred seven".