83612007 has 20 divisors (see below), whose sum is σ = 125147880. Its totient is φ = 55631664.

The previous prime is 83611993. The next prime is 83612033. The reversal of 83612007 is 70021638.

It is not a de Polignac number, because 83612007 - 2¹¹ = 83609959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83616007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 81544 + ... + 82562.

It is an arithmetic number, because the mean of its divisors is an integer number (6257394).

Almost surely, 2^83612007 is an apocalyptic number.

83612007 is a deficient number, since it is larger than the sum of its proper divisors (41535873).

83612007 is a wasteful number, since it uses less digits than its factorization.

83612007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 83612007 is about 9143.9601377084. The cubic root of 83612007 is about 437.2765783855.

The spelling of 83612007 in words is "eighty-three million, six hundred twelve thousand, seven".