7005966 has 32 divisors (see below), whose sum is σ = 15451776. Its totient is φ = 2100000.

The previous prime is 7005959. The next prime is 7005979. The reversal of 7005966 is 6695007.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6141 + ... + 7191.

It is an arithmetic number, because the mean of its divisors is an integer number (482868).

Almost surely, 2^7005966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7005966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7725888).

7005966 is an abundant number, since it is smaller than the sum of its proper divisors (8445810).

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

7005966 is a wasteful number, since it uses less digits than its factorization.

7005966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 7005966 is about 2646.8785389587. The cubic root of 7005966 is about 191.3474483092.

It can be divided in two parts, 70059 and 66, that added together give a triangular number (70125 = T₃₇₄).

The spelling of 7005966 in words is "seven million, five thousand, nine hundred sixty-six".