867671757121 has 27 divisors (see below), whose sum is σ = 952643794851. Its totient is φ = 789917575824.

The previous prime is 867671757119. The next prime is 867671757131. The reversal of 867671757121 is 121757176768.

The square root of 867671757121 is 931489.

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., 128353810225 + 739317946896 = 358265^2 + 859836^2 .

It is not a de Polignac number, because 867671757121 - 2¹ = 867671757119 is a prime.

It is a super-2 number, since 2×867671757121² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (867671757101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 956638750 + ... + 956639656.

It is an arithmetic number, because the mean of its divisors is an integer number (35283103513).

Almost surely, 2^867671757121 is an apocalyptic number.

867671757121 is the 931489-th square number.

867671757121 is the 465745-th centered octagonal number.

It is an amenable number.

867671757121 is a deficient number, since it is larger than the sum of its proper divisors (84972037730).

867671757121 is an frugal number, since it uses more digits than its factorization.

867671757121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 999 counting only the distinct ones).

The product of its digits is 6914880, while the sum is 58.

The spelling of 867671757121 in words is "eight hundred sixty-seven billion, six hundred seventy-one million, seven hundred fifty-seven thousand, one hundred twenty-one".