166953 has 16 divisors (see below), whose sum is σ = 244800. Its totient is φ = 100800.

The previous prime is 166949. The next prime is 166967. The reversal of 166953 is 359661.

It is a happy number.

It is not a de Polignac number, because 166953 - 2² = 166949 is a prime.

166953 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 166953.

It is not an unprimeable number, because it can be changed into a prime (166973) 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 15 ways as a sum of consecutive naturals, for example, 1603 + ... + 1703.

It is an arithmetic number, because the mean of its divisors is an integer number (15300).

2¹⁶⁶⁹⁵³ is an apocalyptic number.

It is an amenable number.

166953 is a deficient number, since it is larger than the sum of its proper divisors (77847).

166953 is a wasteful number, since it uses less digits than its factorization.

166953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152.

The product of its digits is 4860, while the sum is 30.

The square root of 166953 is about 408.5988252553. The cubic root of 166953 is about 55.0636178457.

The spelling of 166953 in words is "one hundred sixty-six thousand, nine hundred fifty-three".