2263365 has 48 divisors (see below), whose sum is σ = 4363632. Its totient is φ = 1078272.

The previous prime is 2263357. The next prime is 2263369. The reversal of 2263365 is 5633622.

2263365 = 62² + 63² + ... + 191².

2263365 is a `hidden beast` number, since 22 + 633 + 6 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 31329 + 2232036 = 177^2 + 1494^2 .

It is not a de Polignac number, because 2263365 - 2³ = 2263357 is a prime.

It is a super-2 number, since 2×2263365² = 10245642246450, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2⁷ + 2¹⁹ + 6² + 3⁵ + 3¹⁰ + 6⁸ + 5 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30969 + ... + 31041.

It is an arithmetic number, because the mean of its divisors is an integer number (90909).

2^2263365 is an apocalyptic number.

It is an amenable number.

2263365 is a deficient number, since it is larger than the sum of its proper divisors (2100267).

2263365 is a wasteful number, since it uses less digits than its factorization.

2263365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 147 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 2263365 is about 1504.4484039009. The cubic root of 2263365 is about 131.2960110793.

Adding to 2263365 its reverse (5633622), we get a palindrome (7896987).

It can be divided in two parts, 2263 and 365, that added together give a triangular number (2628 = T₇₂).

The spelling of 2263365 in words is "two million, two hundred sixty-three thousand, three hundred sixty-five".