83872010 has 16 divisors (see below), whose sum is σ = 151755336. Its totient is φ = 33374208.

The previous prime is 83871979. The next prime is 83872013. The reversal of 83872010 is 1027838.

It can be written as a sum of positive squares in 4 ways, for example, as 60668521 + 23203489 = 7789^2 + 4817^2 .

It is a super-2 number, since 2×83872010² = 14069028122880200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83872013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19799 + ... + 23658.

Almost surely, 2^83872010 is an apocalyptic number.

83872010 is a deficient number, since it is larger than the sum of its proper divisors (67883326).

83872010 is a wasteful number, since it uses less digits than its factorization.

83872010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43657.

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 83872010 is about 9158.1663011762. The cubic root of 83872010 is about 437.7293665325.

Adding to 83872010 its reverse (1027838), we get a palindrome (84899848).

The spelling of 83872010 in words is "eighty-three million, eight hundred seventy-two thousand, ten".