84807 has 12 divisors (see below), whose sum is σ = 127400. Its totient is φ = 56376.

The previous prime is 84793. The next prime is 84809. The reversal of 84807 is 70848.

It is a happy number.

It is not a de Polignac number, because 84807 - 2⁸ = 84551 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84807.

It is not an unprimeable number, because it can be changed into a prime (84809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69 + ... + 417.

2⁸⁴⁸⁰⁷ is an apocalyptic number.

84807 is a deficient number, since it is larger than the sum of its proper divisors (42593).

84807 is an equidigital number, since it uses as much as digits as its factorization.

84807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 84807 is about 291.2164143725. The cubic root of 84807 is about 43.9349935372.

The spelling of 84807 in words is "eighty-four thousand, eight hundred seven".