7257629 has 2 divisors, whose sum is σ = 7257630. Its totient is φ = 7257628.

The previous prime is 7257577. The next prime is 7257659. The reversal of 7257629 is 9267527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4418404 + 2839225 = 2102^2 + 1685^2 .

It is a cyclic number.

It is not a de Polignac number, because 7257629 - 2²⁰ = 6209053 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 7257592 and 7257601.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7257659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3628814 + 3628815.

It is an arithmetic number, because the mean of its divisors is an integer number (3628815).

Almost surely, 2^7257629 is an apocalyptic number.

It is an amenable number.

7257629 is a deficient number, since it is larger than the sum of its proper divisors (1).

7257629 is an equidigital number, since it uses as much as digits as its factorization.

7257629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 52920, while the sum is 38.

The square root of 7257629 is about 2693.9987008163. The cubic root of 7257629 is about 193.6116954009.

The spelling of 7257629 in words is "seven million, two hundred fifty-seven thousand, six hundred twenty-nine".