4213765 has 8 divisors (see below), whose sum is σ = 5152248. Its totient is φ = 3307200.

The previous prime is 4213757. The next prime is 4213771. The reversal of 4213765 is 5673124.

It can be written as a sum of positive squares in 4 ways, for example, as 2122849 + 2090916 = 1457^2 + 1446^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4213765 - 2³ = 4213757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7686 + ... + 8215.

It is an arithmetic number, because the mean of its divisors is an integer number (644031).

Almost surely, 2^4213765 is an apocalyptic number.

It is an amenable number.

4213765 is a deficient number, since it is larger than the sum of its proper divisors (938483).

4213765 is a wasteful number, since it uses less digits than its factorization.

4213765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15959.

The product of its digits is 5040, while the sum is 28.

The square root of 4213765 is about 2052.7457221975. The cubic root of 4213765 is about 161.5189330716.

Adding to 4213765 its reverse (5673124), we get a palindrome (9886889).

It can be divided in two parts, 421 and 3765, that added together give a triangular number (4186 = T₉₁).

The spelling of 4213765 in words is "four million, two hundred thirteen thousand, seven hundred sixty-five".