57016629 has 20 divisors (see below), whose sum is σ = 85665580. Its totient is φ = 37791360.

The previous prime is 57016627. The next prime is 57016633. The reversal of 57016629 is 92661075.

57016629 is a `hidden beast` number, since 570 + 1 + 66 + 29 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16184529 + 40832100 = 4023^2 + 6390^2 .

It is not a de Polignac number, because 57016629 - 2¹ = 57016627 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 57016593 and 57016602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57016627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12717 + ... + 16605.

It is an arithmetic number, because the mean of its divisors is an integer number (4283279).

Almost surely, 2^57016629 is an apocalyptic number.

It is an amenable number.

57016629 is a deficient number, since it is larger than the sum of its proper divisors (28648951).

57016629 is a wasteful number, since it uses less digits than its factorization.

57016629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 57016629 is about 7550.9356373896. The cubic root of 57016629 is about 384.8875344744.

The spelling of 57016629 in words is "fifty-seven million, sixteen thousand, six hundred twenty-nine".