10257765 has 32 divisors (see below), whose sum is σ = 18886656. Its totient is φ = 4656960.

The previous prime is 10257763. The next prime is 10257773. The reversal of 10257765 is 56775201.

It is not a de Polignac number, because 10257765 - 2¹ = 10257763 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10257761) 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 31 ways as a sum of consecutive naturals, for example, 21924 + ... + 22386.

It is an arithmetic number, because the mean of its divisors is an integer number (590208).

Almost surely, 2^10257765 is an apocalyptic number.

10257765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10257765 is a deficient number, since it is larger than the sum of its proper divisors (8628891).

10257765 is a wasteful number, since it uses less digits than its factorization.

10257765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689.

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 10257765 is about 3202.7745783929. The cubic root of 10257765 is about 217.2789139365.

The spelling of 10257765 in words is "ten million, two hundred fifty-seven thousand, seven hundred sixty-five".