165417940 has 12 divisors (see below), whose sum is σ = 347377716. Its totient is φ = 66167168.

The previous prime is 165417919. The next prime is 165417949. The reversal of 165417940 is 49714561.

165417940 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 53523856 + 111894084 = 7316^2 + 10578^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 165417940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165417949) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4135429 + ... + 4135468.

It is an arithmetic number, because the mean of its divisors is an integer number (28948143).

Almost surely, 2^165417940 is an apocalyptic number.

165417940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165417940 is an abundant number, since it is smaller than the sum of its proper divisors (181959776).

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

165417940 is a wasteful number, since it uses less digits than its factorization.

165417940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8270906 (or 8270904 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 165417940 is about 12861.4905823548. The cubic root of 165417940 is about 548.9433597504.

The spelling of 165417940 in words is "one hundred sixty-five million, four hundred seventeen thousand, nine hundred forty".