1005346122 has 64 divisors (see below), whose sum is σ = 2249261568. Its totient is φ = 297000000.

The previous prime is 1005346109. The next prime is 1005346157. The reversal of 1005346122 is 2216435001.

It is a junction number, because it is equal to n+sod(n) for n = 1005346092 and 1005346101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 445497 + ... + 447747.

It is an arithmetic number, because the mean of its divisors is an integer number (35144712).

Almost surely, 2^1005346122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005346122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124630784).

1005346122 is an abundant number, since it is smaller than the sum of its proper divisors (1243915446).

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

1005346122 is a wasteful number, since it uses less digits than its factorization.

1005346122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1005346122 is about 31707.1935371139. The cubic root of 1005346122 is about 1001.7788743962.

The spelling of 1005346122 in words is "one billion, five million, three hundred forty-six thousand, one hundred twenty-two".