166605345 has 48 divisors (see below), whose sum is σ = 300120912. Its totient is φ = 85432320.

The previous prime is 166605343. The next prime is 166605347. The reversal of 166605345 is 543506661.

It is an interprime number because it is at equal distance from previous prime (166605343) and next prime (166605347).

It can be written as a sum of positive squares in 8 ways, for example, as 5645376 + 160959969 = 2376^2 + 12687^2 .

It is not a de Polignac number, because 166605345 - 2¹ = 166605343 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (166605343) 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, 134067 + ... + 135303.

It is an arithmetic number, because the mean of its divisors is an integer number (6252519).

Almost surely, 2^166605345 is an apocalyptic number.

166605345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

166605345 is a deficient number, since it is larger than the sum of its proper divisors (133515567).

166605345 is a wasteful number, since it uses less digits than its factorization.

166605345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 166605345 is about 12907.5692909238. The cubic root of 166605345 is about 550.2537066424.

The spelling of 166605345 in words is "one hundred sixty-six million, six hundred five thousand, three hundred forty-five".