2605365 has 40 divisors (see below), whose sum is σ = 5343360. Its totient is φ = 1189728.

The previous prime is 2605363. The next prime is 2605373. The reversal of 2605365 is 5635062.

2605365 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2605365 - 2¹ = 2605363 is a prime.

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

2605365 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2605363) 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 39 ways as a sum of consecutive naturals, for example, 2376 + ... + 3294.

It is an arithmetic number, because the mean of its divisors is an integer number (133584).

2^2605365 is an apocalyptic number.

It is an amenable number.

2605365 is an abundant number, since it is smaller than the sum of its proper divisors (2737995).

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

2605365 is an equidigital number, since it uses as much as digits as its factorization.

2605365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 2605365 is about 1614.1143082198. The cubic root of 2605365 is about 137.6014017851.

It can be divided in two parts, 260 and 5365, that added together give a square (5625 = 75²).

The spelling of 2605365 in words is "two million, six hundred five thousand, three hundred sixty-five".