537105 has 16 divisors (see below), whose sum is σ = 874944. Its totient is φ = 281280.

The previous prime is 537091. The next prime is 537127. The reversal of 537105 is 501735.

It is a happy number.

It is not a de Polignac number, because 537105 - 2⁶ = 537041 is a prime.

It is a nialpdrome in base 15 and base 16.

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, 622 + ... + 1208.

It is an arithmetic number, because the mean of its divisors is an integer number (54684).

2⁵³⁷¹⁰⁵ is an apocalyptic number.

It is an amenable number.

537105 is a deficient number, since it is larger than the sum of its proper divisors (337839).

537105 is a wasteful number, since it uses less digits than its factorization.

537105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656.

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 537105 is about 732.8744776563. The cubic root of 537105 is about 81.2867447212.

The spelling of 537105 in words is "five hundred thirty-seven thousand, one hundred five".