73857 has 8 divisors (see below), whose sum is σ = 112576. Its totient is φ = 42192.

The previous prime is 73849. The next prime is 73859. The reversal of 73857 is 75837.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 73857 - 2³ = 73849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73859) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1738 + ... + 1779.

It is an arithmetic number, because the mean of its divisors is an integer number (14072).

2⁷³⁸⁵⁷ is an apocalyptic number.

It is an amenable number.

73857 is a deficient number, since it is larger than the sum of its proper divisors (38719).

73857 is a wasteful number, since it uses less digits than its factorization.

73857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3527.

The product of its digits is 5880, while the sum is 30.

The square root of 73857 is about 271.7664438447. The cubic root of 73857 is about 41.9563037611.

The spelling of 73857 in words is "seventy-three thousand, eight hundred fifty-seven".