166361065 has 48 divisors (see below), whose sum is σ = 235824048. Its totient is φ = 112140288.

The previous prime is 166361057. The next prime is 166361071. The reversal of 166361065 is 560163661.

It can be written as a sum of positive squares in 24 ways, for example, as 147185424 + 19175641 = 12132^2 + 4379^2 .

It is not a de Polignac number, because 166361065 - 2³ = 166361057 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 166361065.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 531349 + ... + 531661.

It is an arithmetic number, because the mean of its divisors is an integer number (4913001).

Almost surely, 2^166361065 is an apocalyptic number.

It is an amenable number.

166361065 is a deficient number, since it is larger than the sum of its proper divisors (69462983).

166361065 is a wasteful number, since it uses less digits than its factorization.

166361065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 166361065 is about 12898.1031551155. The cubic root of 166361065 is about 549.9846441994.

The spelling of 166361065 in words is "one hundred sixty-six million, three hundred sixty-one thousand, sixty-five".