165376 has 40 divisors (see below), whose sum is σ = 368280. Its totient is φ = 73728.

The previous prime is 165367. The next prime is 165379. The reversal of 165376 is 673561.

It is a d-powerful number, because it can be written as 1 + 6³ + 3⁶ + 5³ + 7⁶ + 6⁶ .

Its product of digits (3780) is a multiple of the sum of its prime factors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165379) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8695 + ... + 8713.

It is an arithmetic number, because the mean of its divisors is an integer number (9207).

2¹⁶⁵³⁷⁶ is an apocalyptic number.

165376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184140).

165376 is an abundant number, since it is smaller than the sum of its proper divisors (202904).

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

165376 is an equidigital number, since it uses as much as digits as its factorization.

165376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 38 counting only the distinct ones).

The product of its digits is 3780, while the sum is 28.

The square root of 165376 is about 406.6644808684. The cubic root of 165376 is about 54.8896962867.

Subtracting from 165376 its product of digits (3780), we obtain a triangular number (161596 = T₅₆₈).

The spelling of 165376 in words is "one hundred sixty-five thousand, three hundred seventy-six".