84906 has 24 divisors (see below), whose sum is σ = 189540. Its totient is φ = 27456.

The previous prime is 84871. The next prime is 84913. The reversal of 84906 is 60948.

84906 = T₂₈ + T₂₉ + ... + T₈₀.

It can be written as a sum of positive squares in 2 ways, for example, as 84681 + 225 = 291^2 + 15^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 84906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 910 + ... + 998.

2⁸⁴⁹⁰⁶ is an apocalyptic number.

84906 is an abundant number, since it is smaller than the sum of its proper divisors (104634).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94770).

84906 is a wasteful number, since it uses less digits than its factorization.

84906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 84906 is about 291.3863414781. The cubic root of 84906 is about 43.9520828221.

It can be divided in two parts, 84 and 906, that added together give a triangular number (990 = T₄₄).

The spelling of 84906 in words is "eighty-four thousand, nine hundred six".