961830 has 24 divisors (see below), whose sum is σ = 2500992. Its totient is φ = 256464.

The previous prime is 961817. The next prime is 961841. The reversal of 961830 is 38169.

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

It is a junction number, because it is equal to n+sod(n) for n = 961794 and 961803.

It is a congruent number.

It is an unprimeable number.

961830 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5254 + ... + 5433.

It is an arithmetic number, because the mean of its divisors is an integer number (104208).

2⁹⁶¹⁸³⁰ is an apocalyptic number.

961830 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

961830 is an abundant number, since it is smaller than the sum of its proper divisors (1539162).

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

961830 is a wasteful number, since it uses less digits than its factorization.

961830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10700 (or 10697 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 961830 is about 980.7293204549. The cubic root of 961830 is about 98.7111260758.

Adding to 961830 its reverse (38169), we get a palindrome (999999).

The spelling of 961830 in words is "nine hundred sixty-one thousand, eight hundred thirty".