2765541 has 16 divisors (see below), whose sum is σ = 3852288. Its totient is φ = 1762800.

The previous prime is 2765531. The next prime is 2765551. The reversal of 2765541 is 1455672.

2765541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2765531) and next prime (2765551).

It is not a de Polignac number, because 2765541 - 2¹⁴ = 2749157 is a prime.

2765541 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2765499 and 2765508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2765531) 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 15 ways as a sum of consecutive naturals, for example, 12070 + ... + 12296.

It is an arithmetic number, because the mean of its divisors is an integer number (240768).

2^2765541 is an apocalyptic number.

It is an amenable number.

2765541 is a deficient number, since it is larger than the sum of its proper divisors (1086747).

2765541 is a wasteful number, since it uses less digits than its factorization.

2765541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392.

The product of its digits is 8400, while the sum is 30.

The square root of 2765541 is about 1662.9915814579. The cubic root of 2765541 is about 140.3653890708.

The spelling of 2765541 in words is "two million, seven hundred sixty-five thousand, five hundred forty-one".