165410 has 32 divisors (see below), whose sum is σ = 362880. Its totient is φ = 52992.

The previous prime is 165397. The next prime is 165437. The reversal of 165410 is 14561.

165410 = 51² + 52² + ... + 85².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1121 + ... + 1259.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2¹⁶⁵⁴¹⁰ is an apocalyptic number.

165410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

165410 is an abundant number, since it is smaller than the sum of its proper divisors (197470).

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

165410 is a wasteful number, since it uses less digits than its factorization.

165410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 165410 is about 406.7062822234. The cubic root of 165410 is about 54.8934576584.

165410 divided by its sum of digits (17) gives a triangular number (9730 = T₁₃₉).

Adding to 165410 its reverse (14561), we get a palindrome (179971).

It can be divided in two parts, 165 and 410, that added together give a palindrome (575).

The spelling of 165410 in words is "one hundred sixty-five thousand, four hundred ten".