165416 has 32 divisors (see below), whose sum is σ = 345600. Its totient is φ = 73920.

The previous prime is 165397. The next prime is 165437. The reversal of 165416 is 614561.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 165391 and 165400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5321 + ... + 5351.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2¹⁶⁵⁴¹⁶ is an apocalyptic number.

It is an amenable number.

165416 is an abundant number, since it is smaller than the sum of its proper divisors (180184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165416 is a wasteful number, since it uses less digits than its factorization.

165416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 85 counting only the distinct ones).

The product of its digits is 720, while the sum is 23.

The square root of 165416 is about 406.7136584871. The cubic root of 165416 is about 54.8941213763.

Adding to 165416 its reverse (614561), we get a palindrome (779977).

The spelling of 165416 in words is "one hundred sixty-five thousand, four hundred sixteen".