7357457 has 2 divisors, whose sum is σ = 7357458. Its totient is φ = 7357456.

The previous prime is 7357433. The next prime is 7357459. The reversal of 7357457 is 7547537.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7230721 + 126736 = 2689^2 + 356^2 .

It is an emirp because it is prime and its reverse (7547537) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7357457 - 2¹⁴ = 7341073 is a prime.

Together with 7357459, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 7357457.

It is not a weakly prime, because it can be changed into another prime (7357459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3678728 + 3678729.

It is an arithmetic number, because the mean of its divisors is an integer number (3678729).

Almost surely, 2^7357457 is an apocalyptic number.

It is an amenable number.

7357457 is a deficient number, since it is larger than the sum of its proper divisors (1).

7357457 is an equidigital number, since it uses as much as digits as its factorization.

7357457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 102900, while the sum is 38.

The square root of 7357457 is about 2712.4632716407. The cubic root of 7357457 is about 194.4953596433.

It can be divided in two parts, 735 and 7457, that added together give a 13-th power (8192 = 2¹³).

The spelling of 7357457 in words is "seven million, three hundred fifty-seven thousand, four hundred fifty-seven".