165961536 has 56 divisors (see below), whose sum is σ = 472891104. Its totient is φ = 51064320.

The previous prime is 165961489. The next prime is 165961573. The reversal of 165961536 is 635169561.

165961536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 30750 + ... + 35741.

It is an arithmetic number, because the mean of its divisors is an integer number (8444484).

Almost surely, 2^165961536 is an apocalyptic number.

165961536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

165961536 is an abundant number, since it is smaller than the sum of its proper divisors (306929568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165961536 is a wasteful number, since it uses less digits than its factorization.

165961536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66519 (or 66509 counting only the distinct ones).

The product of its digits is 145800, while the sum is 42.

The square root of 165961536 is about 12882.6059475558. The cubic root of 165961536 is about 549.5440143493.

The spelling of 165961536 in words is "one hundred sixty-five million, nine hundred sixty-one thousand, five hundred thirty-six".