10002765 has 32 divisors (see below), whose sum is σ = 16744320. Its totient is φ = 5094144.

The previous prime is 10002763. The next prime is 10002779. The reversal of 10002765 is 56720001.

10002765 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10002765 - 2¹ = 10002763 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37051 + ... + 37319.

It is an arithmetic number, because the mean of its divisors is an integer number (523260).

Almost surely, 2^10002765 is an apocalyptic number.

10002765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10002765 is a deficient number, since it is larger than the sum of its proper divisors (6741555).

10002765 is a wasteful number, since it uses less digits than its factorization.

10002765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 10002765 is about 3162.7148148387. The cubic root of 10002765 is about 215.4633238797.

Adding to 10002765 its reverse (56720001), we get a palindrome (66722766).

The spelling of 10002765 in words is "ten million, two thousand, seven hundred sixty-five".