10682735 has 16 divisors (see below), whose sum is σ = 14952000. Its totient is φ = 7324128.

The previous prime is 10682729. The next prime is 10682767. The reversal of 10682735 is 53728601.

It is a happy number.

It is not a de Polignac number, because 10682735 - 2⁸ = 10682479 is a prime.

It is a super-2 number, since 2×10682735² = 228241654160450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1400 + ... + 4829.

It is an arithmetic number, because the mean of its divisors is an integer number (934500).

Almost surely, 2^10682735 is an apocalyptic number.

10682735 is a deficient number, since it is larger than the sum of its proper divisors (4269265).

10682735 is an frugal number, since it uses more digits than its factorization.

10682735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6255 (or 6241 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 10682735 is about 3268.4453490918. The cubic root of 10682735 is about 220.2389621105.

The spelling of 10682735 in words is "ten million, six hundred eighty-two thousand, seven hundred thirty-five".