537965 has 8 divisors (see below), whose sum is σ = 683640. Its totient is φ = 404992.

The previous prime is 537941. The next prime is 537991. The reversal of 537965 is 569735.

537965 = T₁₁₉ + T₁₂₀ + ... + T₁₆₉.

537965 is digitally balanced in base 2, 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 175561 + 362404 = 419^2 + 602^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 537965 - 2⁸ = 537709 is a prime.

It is a d-powerful number, because it can be written as 5⁵ + 3¹² + 9 + 7² + 6³ + 5⁵ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3080 + ... + 3249.

It is an arithmetic number, because the mean of its divisors is an integer number (85455).

2⁵³⁷⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

537965 is a deficient number, since it is larger than the sum of its proper divisors (145675).

537965 is a wasteful number, since it uses less digits than its factorization.

537965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6351.

The product of its digits is 28350, while the sum is 35.

The square root of 537965 is about 733.4609737403. The cubic root of 537965 is about 81.3301063995.

The spelling of 537965 in words is "five hundred thirty-seven thousand, nine hundred sixty-five".