84456905 has 24 divisors (see below), whose sum is σ = 110748672. Its totient is φ = 61798464.

The previous prime is 84456893. The next prime is 84456913. The reversal of 84456905 is 50965448.

84456905 = 128² + 129² + ... + 634².

It is a happy number.

It is not a de Polignac number, because 84456905 - 2²⁰ = 83408329 is a prime.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106922 + ... + 107708.

It is an arithmetic number, because the mean of its divisors is an integer number (4614528).

Almost surely, 2^84456905 is an apocalyptic number.

It is an amenable number.

84456905 is a deficient number, since it is larger than the sum of its proper divisors (26291767).

84456905 is a wasteful number, since it uses less digits than its factorization.

84456905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 84456905 is about 9190.0437975017. The cubic root of 84456905 is about 438.7445358259.

The spelling of 84456905 in words is "eighty-four million, four hundred fifty-six thousand, nine hundred five".