61857 has 16 divisors (see below), whose sum is σ = 96000. Its totient is φ = 39312.

The previous prime is 61843. The next prime is 61861. The reversal of 61857 is 75816.

61857 is nontrivially palindromic in base 11.

61857 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61857 - 2⁷ = 61729 is a prime.

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

61857 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 61857.

It is not an unprimeable number, because it can be changed into a prime (61837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 744 + ... + 822.

It is an arithmetic number, because the mean of its divisors is an integer number (6000).

2⁶¹⁸⁵⁷ is an apocalyptic number.

It is an amenable number.

61857 is a deficient number, since it is larger than the sum of its proper divisors (34143).

61857 is a wasteful number, since it uses less digits than its factorization.

61857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 111 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 61857 is about 248.7106752836. The cubic root of 61857 is about 39.5484637209.

The spelling of 61857 in words is "sixty-one thousand, eight hundred fifty-seven".