82806393121 has 9 divisors (see below), whose sum is σ = 83840262961. Its totient is φ = 81785129332.

The previous prime is 82806393077. The next prime is 82806393157. The reversal of 82806393121 is 12139360828.

The square root of 82806393121 is 287761.

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

It is not a de Polignac number, because 82806393121 - 2¹³ = 82806384929 is a prime.

It is a super-2 number, since 2×82806393121² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82806393821) 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, 23882430 + ... + 23885896.

Almost surely, 2^82806393121 is an apocalyptic number.

82806393121 is the 287761-st square number.

82806393121 is the 143881-st centered octagonal number.

It is an amenable number.

82806393121 is a deficient number, since it is larger than the sum of its proper divisors (1033869840).

82806393121 is an frugal number, since it uses more digits than its factorization.

82806393121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7100 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 82806393121 in words is "eighty-two billion, eight hundred six million, three hundred ninety-three thousand, one hundred twenty-one".