166838517 has 12 divisors (see below), whose sum is σ = 241113600. Its totient is φ = 111168168.

The previous prime is 166838501. The next prime is 166838519. The reversal of 166838517 is 715838661.

It is not a de Polignac number, because 166838517 - 2⁴ = 166838501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166838519) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20734 + ... + 27632.

It is an arithmetic number, because the mean of its divisors is an integer number (20092800).

Almost surely, 2^166838517 is an apocalyptic number.

It is an amenable number.

166838517 is a deficient number, since it is larger than the sum of its proper divisors (74275083).

166838517 is a wasteful number, since it uses less digits than its factorization.

166838517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9592 (or 9589 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 166838517 is about 12916.5985073470. The cubic root of 166838517 is about 550.5102889429.

It can be divided in two parts, 16683 and 8517, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 166838517 in words is "one hundred sixty-six million, eight hundred thirty-eight thousand, five hundred seventeen".