10457835 has 24 divisors (see below), whose sum is σ = 17350320. Its totient is φ = 5378688.

The previous prime is 10457833. The next prime is 10457849. The reversal of 10457835 is 53875401.

It is not a de Polignac number, because 10457835 - 2¹ = 10457833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10457796 and 10457805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10457831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12201 + ... + 13029.

It is an arithmetic number, because the mean of its divisors is an integer number (722930).

Almost surely, 2^10457835 is an apocalyptic number.

10457835 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10457835 is a deficient number, since it is larger than the sum of its proper divisors (6892485).

10457835 is an equidigital number, since it uses as much as digits as its factorization.

10457835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 10457835 is about 3233.8576035441. The cubic root of 10457835 is about 218.6824488018.

The spelling of 10457835 in words is "ten million, four hundred fifty-seven thousand, eight hundred thirty-five".