9742635 has 48 divisors (see below), whose sum is σ = 19521216. Its totient is φ = 4402944.

The previous prime is 9742633. The next prime is 9742643. The reversal of 9742635 is 5362479.

It is not a de Polignac number, because 9742635 - 2¹ = 9742633 is a prime.

9742635 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 9742635.

It is not an unprimeable number, because it can be changed into a prime (9742633) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 49357 + ... + 49553.

It is an arithmetic number, because the mean of its divisors is an integer number (406692).

Almost surely, 2^9742635 is an apocalyptic number.

9742635 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

9742635 is a wasteful number, since it uses less digits than its factorization.

9742635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 369 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 9742635 is about 3121.3194325477. The cubic root of 9742635 is about 213.5791288575.

It can be divided in two parts, 97426 and 35, that added together give a triangular number (97461 = T₄₄₁).

The spelling of 9742635 in words is "nine million, seven hundred forty-two thousand, six hundred thirty-five".