84106407 has 32 divisors (see below), whose sum is σ = 147179520. Its totient is φ = 41389920.

The previous prime is 84106403. The next prime is 84106487. The reversal of 84106407 is 70460148.

It is not a de Polignac number, because 84106407 - 2² = 84106403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84106403) 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 31 ways as a sum of consecutive naturals, for example, 5193 + ... + 13970.

It is an arithmetic number, because the mean of its divisors is an integer number (4599360).

Almost surely, 2^84106407 is an apocalyptic number.

84106407 is a deficient number, since it is larger than the sum of its proper divisors (63073113).

84106407 is a wasteful number, since it uses less digits than its factorization.

84106407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19203.

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 84106407 is about 9170.9545304728. The cubic root of 84106407 is about 438.1367611547.

It can be divided in two parts, 84 and 106407, that added together give a triangular number (106491 = T₄₆₁).

The spelling of 84106407 in words is "eighty-four million, one hundred six thousand, four hundred seven".