7752961 has 2 divisors, whose sum is σ = 7752962. Its totient is φ = 7752960.

The previous prime is 7752959. The next prime is 7752971. The reversal of 7752961 is 1692577.

7752961 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7392961 + 360000 = 2719^2 + 600^2 .

It is a cyclic number.

It is not a de Polignac number, because 7752961 - 2¹ = 7752959 is a prime.

Together with 7752959, it forms a pair of twin primes.

7752961 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 7752961.

It is not a weakly prime, because it can be changed into another prime (7752911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3876480 + 3876481.

It is an arithmetic number, because the mean of its divisors is an integer number (3876481).

Almost surely, 2^7752961 is an apocalyptic number.

It is an amenable number.

7752961 is a deficient number, since it is larger than the sum of its proper divisors (1).

7752961 is an equidigital number, since it uses as much as digits as its factorization.

7752961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 26460, while the sum is 37.

The square root of 7752961 is about 2784.4139419275. The cubic root of 7752961 is about 197.9197801074.

The spelling of 7752961 in words is "seven million, seven hundred fifty-two thousand, nine hundred sixty-one".