61854 has 24 divisors (see below), whose sum is σ = 136152. Its totient is φ = 18720.

The previous prime is 61843. The next prime is 61861. The reversal of 61854 is 45816.

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 984 + ... + 1044.

It is an arithmetic number, because the mean of its divisors is an integer number (5673).

2⁶¹⁸⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68076).

61854 is an abundant number, since it is smaller than the sum of its proper divisors (74298).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61854 is a wasteful number, since it uses less digits than its factorization.

61854 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 79 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 61854 is about 248.7046441062. The cubic root of 61854 is about 39.5478243574.

The spelling of 61854 in words is "sixty-one thousand, eight hundred fifty-four".