83010 has 16 divisors (see below), whose sum is σ = 199296. Its totient is φ = 22128.

The previous prime is 83009. The next prime is 83023. The reversal of 83010 is 1038.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1354 + ... + 1413.

It is an arithmetic number, because the mean of its divisors is an integer number (12456).

2⁸³⁰¹⁰ is an apocalyptic number.

83010 is an abundant number, since it is smaller than the sum of its proper divisors (116286).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99648).

83010 is a wasteful number, since it uses less digits than its factorization.

83010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 83010 is about 288.1145605484. The cubic root of 83010 is about 43.6224584798.

Adding to 83010 its reverse (1038), we get a palindrome (84048).

The spelling of 83010 in words is "eighty-three thousand, ten".