8301117721 has 32 divisors (see below), whose sum is σ = 9612158976. Its totient is φ = 7112448000.

The previous prime is 8301117709. The next prime is 8301117763. The reversal of 8301117721 is 1277111038.

It is a 4-Lehmer number, since φ(8301117721) divides (8301117721-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 8301117721 - 2¹¹ = 8301115673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a deceptive number, since it divides R_8301117720.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8301115721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1054761 + ... + 1062601.

It is an arithmetic number, because the mean of its divisors is an integer number (300379968).

Almost surely, 2^8301117721 is an apocalyptic number.

It is an amenable number.

8301117721 is a deficient number, since it is larger than the sum of its proper divisors (1311041255).

8301117721 is a wasteful number, since it uses less digits than its factorization.

8301117721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7993.

The product of its (nonzero) digits is 2352, while the sum is 31.

The square root of 8301117721 is about 91110.4698758600. The cubic root of 8301117721 is about 2024.7847331806.

Adding to 8301117721 its reverse (1277111038), we get a palindrome (9578228759).

The spelling of 8301117721 in words is "eight billion, three hundred one million, one hundred seventeen thousand, seven hundred twenty-one".