82083100 has 72 divisors (see below), whose sum is σ = 197237376. Its totient is φ = 29400000.

The previous prime is 82083091. The next prime is 82083109. The reversal of 82083100 is 138028.

It is an interprime number because it is at equal distance from previous prime (82083091) and next prime (82083109).

It is a super-2 number, since 2×82083100² = 13475270611220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82083109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77575 + ... + 78625.

It is an arithmetic number, because the mean of its divisors is an integer number (2739408).

Almost surely, 2^82083100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82083100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98618688).

82083100 is an abundant number, since it is smaller than the sum of its proper divisors (115154276).

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

82083100 is a wasteful number, since it uses less digits than its factorization.

82083100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 82083100 is about 9059.9724061390. The cubic root of 82083100 is about 434.5948577328.

The spelling of 82083100 in words is "eighty-two million, eighty-three thousand, one hundred".