4511965 has 16 divisors (see below), whose sum is σ = 5759280. Its totient is φ = 3390912.

The previous prime is 4511951. The next prime is 4511971. The reversal of 4511965 is 5691154.

It can be written as a sum of positive squares in 8 ways, for example, as 177241 + 4334724 = 421^2 + 2082^2 .

It is not a de Polignac number, because 4511965 - 2¹⁵ = 4479197 is a prime.

It is a super-2 number, since 2×4511965² = 40715656322450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121927 + ... + 121963.

It is an arithmetic number, because the mean of its divisors is an integer number (359955).

Almost surely, 2^4511965 is an apocalyptic number.

It is an amenable number.

4511965 is a deficient number, since it is larger than the sum of its proper divisors (1247315).

4511965 is an frugal number, since it uses more digits than its factorization.

4511965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 71 counting only the distinct ones).

The product of its digits is 5400, while the sum is 31.

The square root of 4511965 is about 2124.1386489587. The cubic root of 4511965 is about 165.2425572438.

It can be divided in two parts, 4511 and 965, that added together give a square (5476 = 74²).

The spelling of 4511965 in words is "four million, five hundred eleven thousand, nine hundred sixty-five".