81416 has 8 divisors (see below), whose sum is σ = 152670. Its totient is φ = 40704.

The previous prime is 81409. The next prime is 81421. The reversal of 81416 is 61418.

It can be written as a sum of positive squares in only one way, i.e., 64516 + 16900 = 254^2 + 130^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5081 + ... + 5096.

2⁸¹⁴¹⁶ is an apocalyptic number.

It is an amenable number.

81416 is a deficient number, since it is larger than the sum of its proper divisors (71254).

81416 is a wasteful number, since it uses less digits than its factorization.

81416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10183 (or 10179 counting only the distinct ones).

The product of its digits is 192, while the sum is 20.

The square root of 81416 is about 285.3348909615. The cubic root of 81416 is about 43.3414317540.

The spelling of 81416 in words is "eighty-one thousand, four hundred sixteen".