35797056 has 56 divisors (see below), whose sum is σ = 97292160. Its totient is φ = 11607552.

The previous prime is 35797043. The next prime is 35797063. The reversal of 35797056 is 65079753.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 35796999 and 35797017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4585 + ... + 9623.

It is an arithmetic number, because the mean of its divisors is an integer number (1737360).

Almost surely, 2^35797056 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 35797056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48646080).

35797056 is an abundant number, since it is smaller than the sum of its proper divisors (61495104).

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

35797056 is a wasteful number, since it uses less digits than its factorization.

35797056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5091 (or 5081 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 42.

The square root of 35797056 is about 5983.0640979351. The cubic root of 35797056 is about 329.5710864762.

The spelling of 35797056 in words is "thirty-five million, seven hundred ninety-seven thousand, fifty-six".