7742521 has 2 divisors, whose sum is σ = 7742522. Its totient is φ = 7742520.

The previous prime is 7742477. The next prime is 7742533. The reversal of 7742521 is 1252477.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6996025 + 746496 = 2645^2 + 864^2 .

It is a cyclic number.

It is not a de Polignac number, because 7742521 - 2¹⁷ = 7611449 is a prime.

It is a Chen prime.

7742521 is a lucky number.

It is equal to p₅₂₃₅₆₇ and since 7742521 and 523567 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 7742521.

It is not a weakly prime, because it can be changed into another prime (7742561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3871260 + 3871261.

It is an arithmetic number, because the mean of its divisors is an integer number (3871261).

Almost surely, 2^7742521 is an apocalyptic number.

It is an amenable number.

7742521 is a deficient number, since it is larger than the sum of its proper divisors (1).

7742521 is an equidigital number, since it uses as much as digits as its factorization.

7742521 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3920, while the sum is 28.

The square root of 7742521 is about 2782.5385891304. The cubic root of 7742521 is about 197.8309017777.

Adding to 7742521 its reverse (1252477), we get a palindrome (8994998).

The spelling of 7742521 in words is "seven million, seven hundred forty-two thousand, five hundred twenty-one".