365145165 has 112 divisors (see below), whose sum is σ = 819697536. Its totient is φ = 151632000.

The previous prime is 365145161. The next prime is 365145167. The reversal of 365145165 is 561541563.

365145165 is a `hidden beast` number, since 36 + 514 + 51 + 65 = 666.

It is not a de Polignac number, because 365145165 - 2² = 365145161 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (365145161) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 280015 + ... + 281315.

It is an arithmetic number, because the mean of its divisors is an integer number (7318728).

Almost surely, 2^365145165 is an apocalyptic number.

365145165 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

365145165 is an abundant number, since it is smaller than the sum of its proper divisors (454552371).

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

365145165 is a wasteful number, since it uses less digits than its factorization.

365145165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1327 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 365145165 is about 19108.7719385627. The cubic root of 365145165 is about 714.7516799508.

It can be divided in two parts, 365 and 145165, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 365145165 in words is "three hundred sixty-five million, one hundred forty-five thousand, one hundred sixty-five".