7035966 has 48 divisors (see below), whose sum is σ = 18345600. Its totient is φ = 1903824.

The previous prime is 7035913. The next prime is 7035971. The reversal of 7035966 is 6695307.

It is a happy number.

It is an Ulam number.

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 7035966.

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, 925 + ... + 3863.

It is an arithmetic number, because the mean of its divisors is an integer number (382200).

Almost surely, 2^7035966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7035966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9172800).

7035966 is an abundant number, since it is smaller than the sum of its proper divisors (11309634).

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

7035966 is a wasteful number, since it uses less digits than its factorization.

7035966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 7035966 is about 2652.5395378769. The cubic root of 7035966 is about 191.6201801145.

It can be divided in two parts, 7035 and 966, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 7035966 in words is "seven million, thirty-five thousand, nine hundred sixty-six".