7967645 has 24 divisors (see below), whose sum is σ = 11782584. Its totient is φ = 5139456.

The previous prime is 7967627. The next prime is 7967657. The reversal of 7967645 is 5467697.

It can be written as a sum of positive squares in 4 ways, for example, as 3136441 + 4831204 = 1771^2 + 2198^2 .

It is not a de Polignac number, because 7967645 - 2⁸ = 7967389 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7967596 and 7967605.

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, 3209 + ... + 5121.

It is an arithmetic number, because the mean of its divisors is an integer number (490941).

Almost surely, 2^7967645 is an apocalyptic number.

It is an amenable number.

7967645 is a deficient number, since it is larger than the sum of its proper divisors (3814939).

7967645 is a wasteful number, since it uses less digits than its factorization.

7967645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1942 counting only the distinct ones).

The product of its digits is 317520, while the sum is 44.

The square root of 7967645 is about 2822.7017199839. The cubic root of 7967645 is about 199.7300106929.

The spelling of 7967645 in words is "seven million, nine hundred sixty-seven thousand, six hundred forty-five".