34827832083121 has 45 divisors (see below), whose sum is σ = 44663559168683. Its totient is φ = 27136091819760.

The previous prime is 34827832083097. The next prime is 34827832083127. The reversal of 34827832083121 is 12138023872843.

The square root of 34827832083121 is 5901511.

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., 1814303935521 + 33013528147600 = 1346961^2 + 5745740^2 .

It is not a de Polignac number, because 34827832083121 - 2²³ = 34827823694513 is a prime.

It is a super-2 number, since 2×34827832083121² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34827832083127) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3180908955 + ... + 3180919903.

Almost surely, 2^{34827832083121} is an apocalyptic number.

34827832083121 is the 5901511-st square number.

34827832083121 is the 2950756-th centered octagonal number.

It is an amenable number.

34827832083121 is a deficient number, since it is larger than the sum of its proper divisors (9835727085562).

34827832083121 is an frugal number, since it uses more digits than its factorization.

34827832083121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21948 (or 10967 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 52.

The spelling of 34827832083121 in words is "thirty-four trillion, eight hundred twenty-seven billion, eight hundred thirty-two million, eighty-three thousand, one hundred twenty-one".