82216600 has 24 divisors (see below), whose sum is σ = 191154060. Its totient is φ = 32886560.

The previous prime is 82216597. The next prime is 82216601. The reversal of 82216600 is 661228.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82216601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 205342 + ... + 205741.

Almost surely, 2^82216600 is an apocalyptic number.

It is an amenable number.

82216600 is an abundant number, since it is smaller than the sum of its proper divisors (108937460).

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

82216600 is a wasteful number, since it uses less digits than its factorization.

82216600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411099 (or 411090 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 82216600 is about 9067.3369850249. The cubic root of 82216600 is about 434.8303385572.

Adding to 82216600 its reverse (661228), we get a palindrome (82877828).

The spelling of 82216600 in words is "eighty-two million, two hundred sixteen thousand, six hundred".