Search a number
1457821 is a prime number

1457821 has 2 divisors, whose sum is σ = 1457822. Its totient is φ = 1457820.

The previous prime is 1457803. The next prime is 1457849. The reversal of 1457821 is 1287541.

It is an a-pointer prime, because the next prime (1457849) can be obtained adding 1457821 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1413721 + 44100 = 1189^2 + 210^2 .

It is an emirp because it is prime and its reverse (1287541) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1457821 is a prime.

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 1457821.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1457861) 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 as a sum of consecutive naturals, namely, 728910 + 728911.

It is an arithmetic number, because the mean of its divisors is an integer number (728911).

21457821 is an apocalyptic number.

It is an amenable number.

1457821 is a deficient number, since it is larger than the sum of its proper divisors (1).

1457821 is an equidigital number, since it uses as much as digits as its factorization.

1457821 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2240, while the sum is 28.

The square root of 1457821 is about 1207.4025840622. The cubic root of 1457821 is about 113.3882538507.

It can be divided in two parts, 1457 and 821, that added together give a triangular number (2278 = T67).

The spelling of 1457821 in words is "one million, four hundred fifty-seven thousand, eight hundred twenty-one".