7928101 has 12 divisors (see below), whose sum is σ = 8405068. Its totient is φ = 7471872.

The previous prime is 7928099. The next prime is 7928117. The reversal of 7928101 is 1018297.

It is the 1150-th star number.

It can be written as a sum of positive squares in 2 ways, for example, as 5522500 + 2405601 = 2350^2 + 1551^2 .

It is not a de Polignac number, because 7928101 - 2¹ = 7928099 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 7928101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7928131) 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 11 ways as a sum of consecutive naturals, for example, 81685 + ... + 81781.

Almost surely, 2^7928101 is an apocalyptic number.

It is an amenable number.

7928101 is a deficient number, since it is larger than the sum of its proper divisors (476967).

7928101 is an equidigital number, since it uses as much as digits as its factorization.

7928101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 7928101 is about 2815.6883705410. The cubic root of 7928101 is about 199.3990376969.

The spelling of 7928101 in words is "seven million, nine hundred twenty-eight thousand, one hundred one".