53822106 has 48 divisors (see below), whose sum is σ = 126420840. Its totient is φ = 16548480.

The previous prime is 53822089. The next prime is 53822113. The reversal of 53822106 is 60122835.

53822106 is a `hidden beast` number, since 538 + 22 + 106 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19881 + 53802225 = 141^2 + 7335^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 53822106.

It is a congruent number.

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, 38866 + ... + 40226.

Almost surely, 2^53822106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53822106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63210420).

53822106 is an abundant number, since it is smaller than the sum of its proper divisors (72598734).

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

53822106 is a wasteful number, since it uses less digits than its factorization.

53822106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 53822106 is about 7336.3550895523. The cubic root of 53822106 is about 377.5607983593.

The spelling of 53822106 in words is "fifty-three million, eight hundred twenty-two thousand, one hundred six".