2117365 has 8 divisors (see below), whose sum is σ = 2576088. Its totient is φ = 1670400.

The previous prime is 2117351. The next prime is 2117369. The reversal of 2117365 is 5637112.

2117365 = 133² + 134² + ... + 205².

2117365 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 842724 + 1274641 = 918^2 + 1129^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2117365 - 2⁷ = 2117237 is a prime.

It is a d-powerful number, because it can be written as 2²¹ + 1 + 1 + 7⁵ + 3⁵ + 6² + 5⁵ .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117369) by changing a digit.

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, 2536 + ... + 3265.

It is an arithmetic number, because the mean of its divisors is an integer number (322011).

2^2117365 is an apocalyptic number.

It is an amenable number.

2117365 is a deficient number, since it is larger than the sum of its proper divisors (458723).

2117365 is an equidigital number, since it uses as much as digits as its factorization.

2117365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5879.

The product of its digits is 1260, while the sum is 25.

The square root of 2117365 is about 1455.1168337972. The cubic root of 2117365 is about 128.4099203652.

The spelling of 2117365 in words is "two million, one hundred seventeen thousand, three hundred sixty-five".