165417540 has 24 divisors (see below), whose sum is σ = 463169280. Its totient is φ = 44111328.

The previous prime is 165417521. The next prime is 165417569. The reversal of 165417540 is 45714561.

165417540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1378420 + ... + 1378539.

It is an arithmetic number, because the mean of its divisors is an integer number (19298720).

Almost surely, 2^165417540 is an apocalyptic number.

165417540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165417540 is an abundant number, since it is smaller than the sum of its proper divisors (297751740).

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

165417540 is a wasteful number, since it uses less digits than its factorization.

165417540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756971 (or 2756969 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 165417540 is about 12861.4750320482. The cubic root of 165417540 is about 548.9429172802.

The spelling of 165417540 in words is "one hundred sixty-five million, four hundred seventeen thousand, five hundred forty".