84906405 has 12 divisors (see below), whose sum is σ = 147171180. Its totient is φ = 45283392.

The previous prime is 84906397. The next prime is 84906413. The reversal of 84906405 is 50460948.

84906405 is a `hidden beast` number, since 8 + 4 + 9 + 0 + 640 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (84906397) and next prime (84906413).

It can be written as a sum of positive squares in 2 ways, for example, as 35034561 + 49871844 = 5919^2 + 7062^2 .

It is not a de Polignac number, because 84906405 - 2³ = 84906397 is a prime.

It is a super-2 number, since 2×84906405² = 14418195220048050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84906405.

It is a congruent number.

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, 943360 + ... + 943449.

It is an arithmetic number, because the mean of its divisors is an integer number (12264265).

Almost surely, 2^84906405 is an apocalyptic number.

It is an amenable number.

84906405 is a deficient number, since it is larger than the sum of its proper divisors (62264775).

84906405 is a wasteful number, since it uses less digits than its factorization.

84906405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886820 (or 1886817 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 84906405 is about 9214.4671576820. The cubic root of 84906405 is about 439.5215270550.

The spelling of 84906405 in words is "eighty-four million, nine hundred six thousand, four hundred five".