7004961 has 16 divisors (see below), whose sum is σ = 10509120. Its totient is φ = 4668516.

The previous prime is 7004941. The next prime is 7005013. The reversal of 7004961 is 1694007.

It is not a de Polignac number, because 7004961 - 2⁶ = 7004897 is a prime.

It is a super-2 number, since 2×7004961² = 98138957223042, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

7004961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (7004911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 586 + ... + 3788.

It is an arithmetic number, because the mean of its divisors is an integer number (656820).

Almost surely, 2^7004961 is an apocalyptic number.

It is an amenable number.

7004961 is a deficient number, since it is larger than the sum of its proper divisors (3504159).

7004961 is an frugal number, since it uses more digits than its factorization.

7004961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 7004961 is about 2646.6886858866. The cubic root of 7004961 is about 191.3382983276.

Adding to 7004961 its reverse (1694007), we get a palindrome (8698968).

The spelling of 7004961 in words is "seven million, four thousand, nine hundred sixty-one".