82955106 has 48 divisors (see below), whose sum is σ = 194234040. Its totient is φ = 25436160.

The previous prime is 82955099. The next prime is 82955137. The reversal of 82955106 is 60155928.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 45684081 + 37271025 = 6759^2 + 6105^2 .

It is a super-2 number, since 2×82955106² = 13763099222942472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107490 + ... + 108258.

Almost surely, 2^82955106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82955106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97117020).

82955106 is an abundant number, since it is smaller than the sum of its proper divisors (111278934).

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

82955106 is a wasteful number, since it uses less digits than its factorization.

82955106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 82955106 is about 9107.9693675374. The cubic root of 82955106 is about 436.1284060535.

The spelling of 82955106 in words is "eighty-two million, nine hundred fifty-five thousand, one hundred six".