10769257 has 8 divisors (see below), whose sum is σ = 11643200. Its totient is φ = 9926064.

The previous prime is 10769243. The next prime is 10769281. The reversal of 10769257 is 75296701.

10769257 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10769257 - 2¹¹ = 10767209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (10769287) 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 7 ways as a sum of consecutive naturals, for example, 6957 + ... + 8362.

It is an arithmetic number, because the mean of its divisors is an integer number (1455400).

Almost surely, 2^10769257 is an apocalyptic number.

It is an amenable number.

10769257 is a deficient number, since it is larger than the sum of its proper divisors (873943).

10769257 is a wasteful number, since it uses less digits than its factorization.

10769257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15375.

The product of its (nonzero) digits is 26460, while the sum is 37.

The square root of 10769257 is about 3281.6546131487. The cubic root of 10769257 is about 220.8319532211.

It can be divided in two parts, 10769 and 257, that added together give a triangular number (11026 = T₁₄₈).

The spelling of 10769257 in words is "ten million, seven hundred sixty-nine thousand, two hundred fifty-seven".