10066735 has 16 divisors (see below), whose sum is σ = 14003712. Its totient is φ = 6804000.

The previous prime is 10066711. The next prime is 10066753. The reversal of 10066735 is 53766001.

It is not a de Polignac number, because 10066735 - 2¹⁵ = 10033967 is a prime.

It is a Duffinian number.

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, 460 + ... + 4510.

It is an arithmetic number, because the mean of its divisors is an integer number (875232).

Almost surely, 2^10066735 is an apocalyptic number.

10066735 is a deficient number, since it is larger than the sum of its proper divisors (3936977).

10066735 is an equidigital number, since it uses as much as digits as its factorization.

10066735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4134.

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 10066735 is about 3172.8118444055. The cubic root of 10066735 is about 215.9216608345.

It can be divided in two parts, 10066 and 735, that added together give a palindrome (10801).

The spelling of 10066735 in words is "ten million, sixty-six thousand, seven hundred thirty-five".