57645629 has 2 divisors, whose sum is σ = 57645630. Its totient is φ = 57645628.

The previous prime is 57645617. The next prime is 57645673. The reversal of 57645629 is 92654675.

It is an a-pointer prime, because the next prime (57645673) can be obtained adding 57645629 to its sum of digits (44).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41860900 + 15784729 = 6470^2 + 3973^2 .

It is a cyclic number.

It is not a de Polignac number, because 57645629 - 2²⁴ = 40868413 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57645629.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57045629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28822814 + 28822815.

It is an arithmetic number, because the mean of its divisors is an integer number (28822815).

Almost surely, 2^57645629 is an apocalyptic number.

It is an amenable number.

57645629 is a deficient number, since it is larger than the sum of its proper divisors (1).

57645629 is an equidigital number, since it uses as much as digits as its factorization.

57645629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 453600, while the sum is 44.

The square root of 57645629 is about 7592.4718636291. The cubic root of 57645629 is about 386.2977045076.

The spelling of 57645629 in words is "fifty-seven million, six hundred forty-five thousand, six hundred twenty-nine".