8142849 has 80 divisors (see below), whose sum is σ = 15449280. Its totient is φ = 4199040.

The previous prime is 8142839. The next prime is 8142853. The reversal of 8142849 is 9482418.

It is not a de Polignac number, because 8142849 - 2⁴ = 8142833 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8142809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 220059 + ... + 220095.

It is an arithmetic number, because the mean of its divisors is an integer number (193116).

It is a Proth number, since it is equal to 497 ⋅ 2¹⁴ + 1 and 497 < 2¹⁴.

Almost surely, 2^8142849 is an apocalyptic number.

It is an amenable number.

8142849 is a deficient number, since it is larger than the sum of its proper divisors (7306431).

8142849 is a wasteful number, since it uses less digits than its factorization.

8142849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 83 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 8142849 is about 2853.5677668491. The cubic root of 8142849 is about 201.1833924347.

It can be divided in two parts, 814 and 2849, that added together give a palindrome (3663).

The spelling of 8142849 in words is "eight million, one hundred forty-two thousand, eight hundred forty-nine".