166248 has 24 divisors (see below), whose sum is σ = 450450. Its totient is φ = 55392.

The previous prime is 166247. The next prime is 166259. The reversal of 166248 is 842661.

It can be written as a sum of positive squares in only one way, i.e., 116964 + 49284 = 342^2 + 222^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 166248.

It is not an unprimeable number, because it can be changed into a prime (166247) 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 5 ways as a sum of consecutive naturals, for example, 1083 + ... + 1226.

166248 is a Friedman number, since it can be written as 4618*6^2, using all its digits and the basic arithmetic operations.

2¹⁶⁶²⁴⁸ is an apocalyptic number.

166248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

166248 is an abundant number, since it is smaller than the sum of its proper divisors (284202).

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

166248 is a wasteful number, since it uses less digits than its factorization.

166248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2314 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 166248 is about 407.7352081928. The cubic root of 166248 is about 54.9860019473.

It can be divided in two parts, 166 and 248, that added together give a palindrome (414).

The spelling of 166248 in words is "one hundred sixty-six thousand, two hundred forty-eight".