61830 has 32 divisors (see below), whose sum is σ = 165600. Its totient is φ = 16416.

The previous prime is 61819. The next prime is 61837. The reversal of 61830 is 3816.

61830 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 a Harshad number since it is a multiple of its sum of digits (18).

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

It is a Curzon number.

It is a congruent number.

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, 156 + ... + 384.

It is an arithmetic number, because the mean of its divisors is an integer number (5175).

2⁶¹⁸³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82800).

61830 is an abundant number, since it is smaller than the sum of its proper divisors (103770).

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

61830 is a wasteful number, since it uses less digits than its factorization.

61830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 61830 is about 248.6563894212. The cubic root of 61830 is about 39.5427087057.

The spelling of 61830 in words is "sixty-one thousand, eight hundred thirty".