83006010 has 24 divisors (see below), whose sum is σ = 215815860. Its totient is φ = 22134912.

The previous prime is 83006009. The next prime is 83006023. The reversal of 83006010 is 1060038.

It can be written as a sum of positive squares in 2 ways, for example, as 78481881 + 4524129 = 8859^2 + 2127^2 .

It is a super-2 number, since 2×83006010² = 13779995392240200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 461055 + ... + 461234.

Almost surely, 2^83006010 is an apocalyptic number.

83006010 is an abundant number, since it is smaller than the sum of its proper divisors (132809850).

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

83006010 is a wasteful number, since it uses less digits than its factorization.

83006010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922302 (or 922299 counting only the distinct ones).

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

The square root of 83006010 is about 9110.7634147749. The cubic root of 83006010 is about 436.2175954234.

Adding to 83006010 its reverse (1060038), we get a palindrome (84066048).

The spelling of 83006010 in words is "eighty-three million, six thousand, ten".