4001765 has 8 divisors (see below), whose sum is σ = 4893048. Its totient is φ = 3140800.

The previous prime is 4001743. The next prime is 4001771. The reversal of 4001765 is 5671004.

It can be written as a sum of positive squares in 4 ways, for example, as 195364 + 3806401 = 442^2 + 1951^2 .

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

It is not a de Polignac number, because 4001765 - 2⁸ = 4001509 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4001765.

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, 7286 + ... + 7815.

It is an arithmetic number, because the mean of its divisors is an integer number (611631).

Almost surely, 2^4001765 is an apocalyptic number.

It is an amenable number.

4001765 is a deficient number, since it is larger than the sum of its proper divisors (891283).

4001765 is a wasteful number, since it uses less digits than its factorization.

4001765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15159.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 4001765 is about 2000.4412013353. The cubic root of 4001765 is about 158.7634497874.

Adding to 4001765 its reverse (5671004), we get a palindrome (9672769).

The spelling of 4001765 in words is "four million, one thousand, seven hundred sixty-five".