165630 has 16 divisors (see below), whose sum is σ = 397584. Its totient is φ = 44160.

The previous prime is 165617. The next prime is 165653. The reversal of 165630 is 36561.

165630 = 180² + 181² + ... + 184².

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 = 165597 and 165606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2731 + ... + 2790.

It is an arithmetic number, because the mean of its divisors is an integer number (24849).

2¹⁶⁵⁶³⁰ is an apocalyptic number.

165630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

165630 is an abundant number, since it is smaller than the sum of its proper divisors (231954).

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

165630 is a wasteful number, since it uses less digits than its factorization.

165630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5531.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 165630 is about 406.9766578073. The cubic root of 165630 is about 54.9177834964.

The spelling of 165630 in words is "one hundred sixty-five thousand, six hundred thirty".