8374263121 has 27 divisors (see below), whose sum is σ = 10361700369. Its totient is φ = 6746923008.

The previous prime is 8374263113. The next prime is 8374263127. The reversal of 8374263121 is 1213624738.

It is a happy number.

The square root of 8374263121 is 91511.

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

It can be written as a sum of positive squares in 4 ways, for example, as 285779025 + 8088484096 = 16905^2 + 89936^2 .

It is not a de Polignac number, because 8374263121 - 2³ = 8374263113 is a prime.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8374263127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10889425 + ... + 10890193.

Almost surely, 2^8374263121 is an apocalyptic number.

8374263121 is the 91511-st square number.

8374263121 is the 45756-th centered octagonal number.

It is an amenable number.

8374263121 is a deficient number, since it is larger than the sum of its proper divisors (1987437248).

8374263121 is an frugal number, since it uses more digits than its factorization.

8374263121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 793 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The cubic root of 8374263121 is about 2030.7144888839.

Adding to 8374263121 its reverse (1213624738), we get a palindrome (9587887859).

The spelling of 8374263121 in words is "eight billion, three hundred seventy-four million, two hundred sixty-three thousand, one hundred twenty-one".