2052765 has 72 divisors (see below), whose sum is σ = 4357080. Its totient is φ = 887040.

The previous prime is 2052751. The next prime is 2052769. The reversal of 2052765 is 5672502.

It can be written as a sum of positive squares in 4 ways, for example, as 39204 + 2013561 = 198^2 + 1419^2 .

It is not a de Polignac number, because 2052765 - 2⁴ = 2052749 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 (2052769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70771 + ... + 70799.

It is an arithmetic number, because the mean of its divisors is an integer number (60515).

2^2052765 is an apocalyptic number.

2052765 is the 1170-th pentagonal number.

It is an amenable number.

2052765 is an abundant number, since it is smaller than the sum of its proper divisors (2304315).

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

2052765 is a wasteful number, since it uses less digits than its factorization.

2052765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2052765 is about 1432.7473608421. The cubic root of 2052765 is about 127.0904970132.

The spelling of 2052765 in words is "two million, fifty-two thousand, seven hundred sixty-five".