166356 has 18 divisors (see below), whose sum is σ = 420602. Its totient is φ = 55440.

The previous prime is 166351. The next prime is 166357. The reversal of 166356 is 653661.

It can be written as a sum of positive squares in only one way, i.e., 133956 + 32400 = 366^2 + 180^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a plaindrome in base 15.

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166351) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2275 + ... + 2346.

2¹⁶⁶³⁵⁶ is an apocalyptic number.

It is an amenable number.

166356 is an abundant number, since it is smaller than the sum of its proper divisors (254246).

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

166356 is a wasteful number, since it uses less digits than its factorization.

166356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4631 (or 4626 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 166356 is about 407.8676255846. The cubic root of 166356 is about 54.9979062564.

It can be divided in two parts, 16635 and 6, that added together give a square (16641 = 129²).

The spelling of 166356 in words is "one hundred sixty-six thousand, three hundred fifty-six".