6541965 has 40 divisors (see below), whose sum is σ = 12153240. Its totient is φ = 3362688.

The previous prime is 6541939. The next prime is 6541973. The reversal of 6541965 is 5691456.

6541965 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 54756 + 6487209 = 234^2 + 2547^2 .

It is not a de Polignac number, because 6541965 - 2⁶ = 6541901 is a prime.

It is a super-2 number, since 2×6541965² = 85594612122450, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11467 + ... + 12023.

It is an arithmetic number, because the mean of its divisors is an integer number (303831).

Almost surely, 2^6541965 is an apocalyptic number.

It is an amenable number.

6541965 is a deficient number, since it is larger than the sum of its proper divisors (5611275).

6541965 is a wasteful number, since it uses less digits than its factorization.

6541965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 594 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 6541965 is about 2557.7265295571. The cubic root of 6541965 is about 187.0263243752.

The spelling of 6541965 in words is "six million, five hundred forty-one thousand, nine hundred sixty-five".