165484561 has 16 divisors (see below), whose sum is σ = 183972096. Its totient is φ = 148830000.

The previous prime is 165484537. The next prime is 165484567.

165484561 = T₁₅₉₃ + T₁₅₉₄ + ... + T₁₇₁₃.

165484561 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-165484561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (165484567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133816 + ... + 135046.

It is an arithmetic number, because the mean of its divisors is an integer number (11498256).

Almost surely, 2^165484561 is an apocalyptic number.

165484561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

165484561 is a deficient number, since it is larger than the sum of its proper divisors (18487535).

165484561 is a wasteful number, since it uses less digits than its factorization.

165484561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1343 counting only the distinct ones).

The product of its digits is 115200, while the sum is 40.

The square root of 165484561 is about 12864.0802624984. The cubic root of 165484561 is about 549.0170443159.

The spelling of 165484561 in words is "one hundred sixty-five million, four hundred eighty-four thousand, five hundred sixty-one".