7965945 has 80 divisors (see below), whose sum is σ = 16465680. Its totient is φ = 3649536.

The previous prime is 7965941. The next prime is 7965949. The reversal of 7965945 is 5495697.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7965941) and next prime (7965949).

It can be written as a sum of positive squares in 8 ways, for example, as 627264 + 7338681 = 792^2 + 2709^2 .

It is not a de Polignac number, because 7965945 - 2² = 7965941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 7965945.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7965941) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 89461 + ... + 89549.

It is an arithmetic number, because the mean of its divisors is an integer number (205821).

Almost surely, 2^7965945 is an apocalyptic number.

It is an amenable number.

7965945 is an abundant number, since it is smaller than the sum of its proper divisors (8499735).

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

7965945 is a wasteful number, since it uses less digits than its factorization.

7965945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 127 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 7965945 is about 2822.4005739795. The cubic root of 7965945 is about 199.7158046897.

The spelling of 7965945 in words is "seven million, nine hundred sixty-five thousand, nine hundred forty-five".