82834749 has 12 divisors (see below), whose sum is σ = 122884476. Its totient is φ = 53730432.

The previous prime is 82834733. The next prime is 82834781. The reversal of 82834749 is 94743828.

It can be written as a sum of positive squares in 2 ways, for example, as 71825625 + 11009124 = 8475^2 + 3318^2 .

It is not a de Polignac number, because 82834749 - 2⁴ = 82834733 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82834709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124044 + ... + 124709.

It is an arithmetic number, because the mean of its divisors is an integer number (10240373).

Almost surely, 2^82834749 is an apocalyptic number.

It is an amenable number.

82834749 is a deficient number, since it is larger than the sum of its proper divisors (40049727).

82834749 is a wasteful number, since it uses less digits than its factorization.

82834749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248796 (or 248793 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 82834749 is about 9101.3597335783. The cubic root of 82834749 is about 435.9173822219.

The spelling of 82834749 in words is "eighty-two million, eight hundred thirty-four thousand, seven hundred forty-nine".