57540321 has 32 divisors (see below), whose sum is σ = 90288000. Its totient is φ = 36154944.

The previous prime is 57540311. The next prime is 57540323. The reversal of 57540321 is 12304575.

It is a happy number.

It is not a de Polignac number, because 57540321 - 2¹⁰ = 57539297 is a prime.

It is a super-3 number, since 3×57540321³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (57540323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32815 + ... + 34523.

It is an arithmetic number, because the mean of its divisors is an integer number (2821500).

Almost surely, 2^57540321 is an apocalyptic number.

It is an amenable number.

57540321 is a deficient number, since it is larger than the sum of its proper divisors (32747679).

57540321 is a wasteful number, since it uses less digits than its factorization.

57540321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 57540321 is about 7585.5336661306. The cubic root of 57540321 is about 386.0623294160.

Adding to 57540321 its reverse (12304575), we get a palindrome (69844896).

The spelling of 57540321 in words is "fifty-seven million, five hundred forty thousand, three hundred twenty-one".