82816101 has 48 divisors (see below), whose sum is σ = 130352768. Its totient is φ = 52488000.

The previous prime is 82816099. The next prime is 82816103. The reversal of 82816101 is 10161828.

It is an interprime number because it is at equal distance from previous prime (82816099) and next prime (82816103).

It is not a de Polignac number, because 82816101 - 2¹ = 82816099 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 not an unprimeable number, because it can be changed into a prime (82816103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 548376 + ... + 548526.

Almost surely, 2^82816101 is an apocalyptic number.

82816101 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

82816101 is a deficient number, since it is larger than the sum of its proper divisors (47536667).

82816101 is a wasteful number, since it uses less digits than its factorization.

82816101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 82816101 is about 9100.3352136061. The cubic root of 82816101 is about 435.8846681032.

Adding to 82816101 its reverse (10161828), we get a palindrome (92977929).

The spelling of 82816101 in words is "eighty-two million, eight hundred sixteen thousand, one hundred one".