57627041 has 2 divisors, whose sum is σ = 57627042. Its totient is φ = 57627040.

The previous prime is 57627013. The next prime is 57627061. The reversal of 57627041 is 14072675.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47886400 + 9740641 = 6920^2 + 3121^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-57627041 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 57626989 and 57627007.

It is not a weakly prime, because it can be changed into another prime (57627001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28813520 + 28813521.

It is an arithmetic number, because the mean of its divisors is an integer number (28813521).

Almost surely, 2^57627041 is an apocalyptic number.

It is an amenable number.

57627041 is a deficient number, since it is larger than the sum of its proper divisors (1).

57627041 is an equidigital number, since it uses as much as digits as its factorization.

57627041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 57627041 is about 7591.2476576647. The cubic root of 57627041 is about 386.2561791061.

The spelling of 57627041 in words is "fifty-seven million, six hundred twenty-seven thousand, forty-one".