83010312 has 384 divisors, whose sum is σ = 315187200. Its totient is φ = 19958400.

The previous prime is 83010307. The next prime is 83010313. The reversal of 83010312 is 21301038.

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

It is not an unprimeable number, because it can be changed into a prime (83010313) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2677737 + ... + 2677767.

It is an arithmetic number, because the mean of its divisors is an integer number (820800).

Almost surely, 2^83010312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83010312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157593600).

83010312 is an abundant number, since it is smaller than the sum of its proper divisors (232176888).

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

83010312 is a wasteful number, since it uses less digits than its factorization.

83010312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 77 counting only the distinct ones).

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

The square root of 83010312 is about 9110.9995060915. Note that the first 3 decimals coincide. The cubic root of 83010312 is about 436.2251313262.

The spelling of 83010312 in words is "eighty-three million, ten thousand, three hundred twelve".