82616 has 16 divisors (see below), whose sum is σ = 162000. Its totient is φ = 39424.

The previous prime is 82613. The next prime is 82619. The reversal of 82616 is 61628.

82616 = T₇₃ + T₇₄ + ... + T₉₅.

It is an interprime number because it is at equal distance from previous prime (82613) and next prime (82619).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 82591 and 82600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82613) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 41 + ... + 408.

It is an arithmetic number, because the mean of its divisors is an integer number (10125).

2⁸²⁶¹⁶ is an apocalyptic number.

It is an amenable number.

82616 is a deficient number, since it is larger than the sum of its proper divisors (79384).

82616 is a wasteful number, since it uses less digits than its factorization.

82616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 474 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 82616 is about 287.4299914762. The cubic root of 82616 is about 43.5533322172.

The spelling of 82616 in words is "eighty-two thousand, six hundred sixteen".