166084947 has 48 divisors (see below), whose sum is σ = 292032000. Its totient is φ = 88843392.

The previous prime is 166084937. The next prime is 166084967. The reversal of 166084947 is 749480661.

It is not a de Polignac number, because 166084947 - 2⁷ = 166084819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (166084937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105754 + ... + 107312.

It is an arithmetic number, because the mean of its divisors is an integer number (6084000).

Almost surely, 2^166084947 is an apocalyptic number.

166084947 is a deficient number, since it is larger than the sum of its proper divisors (125947053).

166084947 is a wasteful number, since it uses less digits than its factorization.

166084947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 166084947 is about 12887.3948880292. The cubic root of 166084947 is about 549.6801964519.

The spelling of 166084947 in words is "one hundred sixty-six million, eighty-four thousand, nine hundred forty-seven".