7834197121 has 9 divisors (see below), whose sum is σ = 7970224899. Its totient is φ = 7700457000.

The previous prime is 7834197113. The next prime is 7834197127. The reversal of 7834197121 is 1217914387.

The square root of 7834197121 is 88511.

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., 254753521 + 7579443600 = 15961^2 + 87060^2 .

It is not a de Polignac number, because 7834197121 - 2³ = 7834197113 is a prime.

It is a super-2 number, since 2×7834197121² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (84672) is a multiple of the sum of its prime divisors (1512).

It is not an unprimeable number, because it can be changed into a prime (7834197127) 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, 5398446 + ... + 5399896.

Almost surely, 2^7834197121 is an apocalyptic number.

7834197121 is the 88511-st square number.

7834197121 is the 44256-th centered octagonal number.

It is an amenable number.

7834197121 is a deficient number, since it is larger than the sum of its proper divisors (136027778).

7834197121 is an frugal number, since it uses more digits than its factorization.

7834197121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024 (or 1512 counting only the distinct ones).

The product of its digits is 84672, while the sum is 43.

The cubic root of 7834197121 is about 1986.0865254832.

The spelling of 7834197121 in words is "seven billion, eight hundred thirty-four million, one hundred ninety-seven thousand, one hundred twenty-one".