9966735 has 24 divisors (see below), whose sum is σ = 18186480. Its totient is φ = 5035392.

The previous prime is 9966721. The next prime is 9966769. The reversal of 9966735 is 5376699.

It is not a de Polignac number, because 9966735 - 2⁹ = 9966223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a d-powerful number, because it can be written as 9² + 9⁷ + 6 + 6⁷ + 7⁶ + 3¹⁴ + 5⁵ .

9966735 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4974 + ... + 6683.

It is an arithmetic number, because the mean of its divisors is an integer number (757770).

Almost surely, 2^9966735 is an apocalyptic number.

9966735 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

9966735 is a deficient number, since it is larger than the sum of its proper divisors (8219745).

9966735 is a wasteful number, since it uses less digits than its factorization.

9966735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11687 (or 11684 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 9966735 is about 3157.0136204964. The cubic root of 9966735 is about 215.2043127225.

It can be divided in two parts, 9966 and 735, that added together give a palindrome (10701).

The spelling of 9966735 in words is "nine million, nine hundred sixty-six thousand, seven hundred thirty-five".