361830 has 32 divisors (see below), whose sum is σ = 993024. Its totient is φ = 82656.

The previous prime is 361807. The next prime is 361843. The reversal of 361830 is 38163.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 361797 and 361806.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361830.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652 + ... + 1071.

It is an arithmetic number, because the mean of its divisors is an integer number (31032).

2³⁶¹⁸³⁰ is an apocalyptic number.

361830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

361830 is an abundant number, since it is smaller than the sum of its proper divisors (631194).

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

361830 is a wasteful number, since it uses less digits than its factorization.

361830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 361830 is about 601.5230668894. The cubic root of 361830 is about 71.2582015797.

Adding to 361830 its reverse (38163), we get a palindrome (399993).

The spelling of 361830 in words is "three hundred sixty-one thousand, eight hundred thirty".