10957735 has 16 divisors (see below), whose sum is σ = 13740192. Its totient is φ = 8380800.

The previous prime is 10957717. The next prime is 10957747. The reversal of 10957735 is 53775901.

It is a happy number.

10957735 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 10957735 - 2¹¹ = 10955687 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10957694 and 10957703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10800 + ... + 11770.

It is an arithmetic number, because the mean of its divisors is an integer number (858762).

Almost surely, 2^10957735 is an apocalyptic number.

10957735 is a deficient number, since it is larger than the sum of its proper divisors (2782457).

10957735 is an equidigital number, since it uses as much as digits as its factorization.

10957735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074.

The product of its (nonzero) digits is 33075, while the sum is 37.

The square root of 10957735 is about 3310.2469696384. The cubic root of 10957735 is about 222.1128055329.

The spelling of 10957735 in words is "ten million, nine hundred fifty-seven thousand, seven hundred thirty-five".