10729257 has 16 divisors (see below), whose sum is σ = 17836032. Its totient is φ = 5573520.

The previous prime is 10729253. The next prime is 10729259. The reversal of 10729257 is 75292701.

It is not a de Polignac number, because 10729257 - 2² = 10729253 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10729253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22993 + ... + 23454.

It is an arithmetic number, because the mean of its divisors is an integer number (1114752).

Almost surely, 2^10729257 is an apocalyptic number.

It is an amenable number.

10729257 is a deficient number, since it is larger than the sum of its proper divisors (7106775).

10729257 is a wasteful number, since it uses less digits than its factorization.

10729257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46468.

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 10729257 is about 3275.5544568821. The cubic root of 10729257 is about 220.5582036899.

The spelling of 10729257 in words is "ten million, seven hundred twenty-nine thousand, two hundred fifty-seven".