57540417 has 16 divisors (see below), whose sum is σ = 88101120. Its totient is φ = 33037200.

The previous prime is 57540403. The next prime is 57540421. The reversal of 57540417 is 71404575.

It is not a de Polignac number, because 57540417 - 2²² = 53346113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (57540487) 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 in 15 ways as a sum of consecutive naturals, for example, 45259 + ... + 46512.

It is an arithmetic number, because the mean of its divisors is an integer number (5506320).

Almost surely, 2^57540417 is an apocalyptic number.

57540417 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

57540417 is a deficient number, since it is larger than the sum of its proper divisors (30560703).

57540417 is a wasteful number, since it uses less digits than its factorization.

57540417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91804.

The product of its (nonzero) digits is 19600, while the sum is 33.

The square root of 57540417 is about 7585.5399939622. The cubic root of 57540417 is about 386.0625441174.

The spelling of 57540417 in words is "fifty-seven million, five hundred forty thousand, four hundred seventeen".