83034138862249 has 9 divisors (see below), whose sum is σ = 83849070093303. Its totient is φ = 82227052718952.

The previous prime is 83034138862247. The next prime is 83034138862261. The reversal of 83034138862249 is 94226883143038.

The square root of 83034138862249 is 9112307.

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., 77701457114649 + 5332681747600 = 8814843^2 + 2309260^2 .

It is not a de Polignac number, because 83034138862249 - 2¹ = 83034138862247 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83034138862247) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 938523387 + ... + 938611855.

Almost surely, 2^{83034138862249} is an apocalyptic number.

83034138862249 is the 9112307-th square number.

83034138862249 is the 4556154-th centered octagonal number.

It is an amenable number.

83034138862249 is a deficient number, since it is larger than the sum of its proper divisors (814931231054).

83034138862249 is an frugal number, since it uses more digits than its factorization.

83034138862249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177144 (or 88572 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 61.

The spelling of 83034138862249 in words is "eighty-three trillion, thirty-four billion, one hundred thirty-eight million, eight hundred sixty-two thousand, two hundred forty-nine".