57084993 has 40 divisors (see below), whose sum is σ = 98712768. Its totient is φ = 32200416.

The previous prime is 57084977. The next prime is 57085003. The reversal of 57084993 is 39948075.

It is not a de Polignac number, because 57084993 - 2⁴ = 57084977 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57084943) 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 39 ways as a sum of consecutive naturals, for example, 46455 + ... + 47667.

Almost surely, 2^57084993 is an apocalyptic number.

It is an amenable number.

57084993 is a deficient number, since it is larger than the sum of its proper divisors (41627775).

57084993 is a wasteful number, since it uses less digits than its factorization.

57084993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 57084993 is about 7555.4611374819. The cubic root of 57084993 is about 385.0413021412.

It can be divided in two parts, 5708 and 4993, that added together give a palindrome (10701).

The spelling of 57084993 in words is "fifty-seven million, eighty-four thousand, nine hundred ninety-three".