83754096409 has 9 divisors (see below), whose sum is σ = 84162101439. Its totient is φ = 83348064000.

The previous prime is 83754096359. The next prime is 83754096427. The reversal of 83754096409 is 90469045738.

The square root of 83754096409 is 289403.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 66190425625 + 17563670784 = 257275^2 + 132528^2 .

It is a de Polignac number, because none of the positive numbers 2^k-83754096409 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 83754096409.

It is not an unprimeable number, because it can be changed into a prime (83754097409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 72639577 + ... + 72640729.

Almost surely, 2^83754096409 is an apocalyptic number.

83754096409 is the 289403-rd square number.

83754096409 is the 144702-nd centered octagonal number.

It is an amenable number.

83754096409 is a deficient number, since it is larger than the sum of its proper divisors (408005030).

83754096409 is an frugal number, since it uses more digits than its factorization.

83754096409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 83754096409 in words is "eighty-three billion, seven hundred fifty-four million, ninety-six thousand, four hundred nine".