84872007 has 48 divisors (see below), whose sum is σ = 142871040. Its totient is φ = 47980800.

The previous prime is 84872003. The next prime is 84872033. The reversal of 84872007 is 70027848.

It is not a de Polignac number, because 84872007 - 2² = 84872003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84872003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 354994 + ... + 355232.

It is an arithmetic number, because the mean of its divisors is an integer number (2976480).

Almost surely, 2^84872007 is an apocalyptic number.

84872007 is a deficient number, since it is larger than the sum of its proper divisors (57999033).

84872007 is a wasteful number, since it uses less digits than its factorization.

84872007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 84872007 is about 9212.6004472136. The cubic root of 84872007 is about 439.4621648133.

The spelling of 84872007 in words is "eighty-four million, eight hundred seventy-two thousand, seven".