84416 has 14 divisors (see below), whose sum is σ = 167640. Its totient is φ = 42176.

The previous prime is 84407. The next prime is 84421. The reversal of 84416 is 61448.

It is a happy number.

It is a super-2 number, since 2×84416² = 14252122112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 84391 and 84400.

It is a congruent number.

It is an unprimeable number.

84416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 596 + ... + 723.

2⁸⁴⁴¹⁶ is an apocalyptic number.

It is an amenable number.

84416 is a deficient number, since it is larger than the sum of its proper divisors (83224).

84416 is a wasteful number, since it uses less digits than its factorization.

84416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1321 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 84416 is about 290.5443167574. The cubic root of 84416 is about 43.8673692029.

Adding to 84416 its product of digits (768), we get a cube (85184 = 44³).

The spelling of 84416 in words is "eighty-four thousand, four hundred sixteen".