2208465 has 80 divisors (see below), whose sum is σ = 4878720. Its totient is φ = 933120.

The previous prime is 2208463. The next prime is 2208467. The reversal of 2208465 is 5648022.

It is an interprime number because it is at equal distance from previous prime (2208463) and next prime (2208467).

It is not a de Polignac number, because 2208465 - 2¹ = 2208463 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 2⁷ + 2²¹ + 0 + 8⁵ + 4⁴ + 6² + 5⁷ .

It is a Curzon number.

2208465 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2208463) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53845 + ... + 53885.

It is an arithmetic number, because the mean of its divisors is an integer number (60984).

2^2208465 is an apocalyptic number.

It is an amenable number.

2208465 is an abundant number, since it is smaller than the sum of its proper divisors (2670255).

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

2208465 is a wasteful number, since it uses less digits than its factorization.

2208465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2208465 is about 1486.0905086838. The cubic root of 2208465 is about 130.2257419000.

The spelling of 2208465 in words is "two million, two hundred eight thousand, four hundred sixty-five".