166792 has 8 divisors (see below), whose sum is σ = 312750. Its totient is φ = 83392.

The previous prime is 166783. The next prime is 166799. The reversal of 166792 is 297661.

It can be written as a sum of positive squares in only one way, i.e., 106276 + 60516 = 326^2 + 246^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (166799) 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 as a sum of consecutive naturals, namely, 10417 + ... + 10432.

2¹⁶⁶⁷⁹² is an apocalyptic number.

It is an amenable number.

166792 is a deficient number, since it is larger than the sum of its proper divisors (145958).

166792 is a wasteful number, since it uses less digits than its factorization.

166792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20855 (or 20851 counting only the distinct ones).

The product of its digits is 4536, while the sum is 31.

The square root of 166792 is about 408.4017629737. The cubic root of 166792 is about 55.0459120768.

The spelling of 166792 in words is "one hundred sixty-six thousand, seven hundred ninety-two".