2165713 has 16 divisors (see below), whose sum is σ = 2488320. Its totient is φ = 1867600.

The previous prime is 2165711. The next prime is 2165741. The reversal of 2165713 is 3175612.

2165713 = T₆₂₂ + T₆₂₃ + ... + T₆₃₂.

It is a cyclic number.

It is not a de Polignac number, because 2165713 - 2¹ = 2165711 is a prime.

It is a Duffinian number.

2165713 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2165711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30468 + ... + 30538.

It is an arithmetic number, because the mean of its divisors is an integer number (155520).

2^2165713 is an apocalyptic number.

It is an amenable number.

2165713 is a deficient number, since it is larger than the sum of its proper divisors (322607).

2165713 is a wasteful number, since it uses less digits than its factorization.

2165713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188.

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

The square root of 2165713 is about 1471.6361642743. The cubic root of 2165713 is about 129.3799466785.

It can be divided in two parts, 216 and 5713, that added together give a square (5929 = 77²).

The spelling of 2165713 in words is "two million, one hundred sixty-five thousand, seven hundred thirteen".