10835857 has 8 divisors (see below), whose sum is σ = 11313512. Its totient is φ = 10368000.

The previous prime is 10835831. The next prime is 10835861. The reversal of 10835857 is 75853801.

10835857 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1324801 + 9511056 = 1151^2 + 3084^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10835857 - 2¹⁹ = 10311569 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 not an unprimeable number, because it can be changed into a prime (10835887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144 + ... + 4657.

It is an arithmetic number, because the mean of its divisors is an integer number (1414189).

Almost surely, 2^10835857 is an apocalyptic number.

It is an amenable number.

10835857 is a deficient number, since it is larger than the sum of its proper divisors (477655).

10835857 is an equidigital number, since it uses as much as digits as its factorization.

10835857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4899.

The product of its (nonzero) digits is 33600, while the sum is 37.

The square root of 10835857 is about 3291.7862931849. The cubic root of 10835857 is about 221.2862462029.

The spelling of 10835857 in words is "ten million, eight hundred thirty-five thousand, eight hundred fifty-seven".