165460 has 12 divisors (see below), whose sum is σ = 347508. Its totient is φ = 66176.

The previous prime is 165457. The next prime is 165463. The reversal of 165460 is 64561.

It is an interprime number because it is at equal distance from previous prime (165457) and next prime (165463).

It can be written as a sum of positive squares in 2 ways, for example, as 93636 + 71824 = 306^2 + 268^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4117 + ... + 4156.

It is an arithmetic number, because the mean of its divisors is an integer number (28959).

2¹⁶⁵⁴⁶⁰ is an apocalyptic number.

165460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165460 is an abundant number, since it is smaller than the sum of its proper divisors (182048).

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

165460 is a wasteful number, since it uses less digits than its factorization.

165460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8282 (or 8280 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 165460 is about 406.7677470007. The cubic root of 165460 is about 54.8989881510.

It can be divided in two parts, 165 and 460, that added together give a 4-th power (625 = 5⁴).

The spelling of 165460 in words is "one hundred sixty-five thousand, four hundred sixty".