537129 has 12 divisors (see below), whose sum is σ = 797316. Its totient is φ = 348192.

The previous prime is 537127. The next prime is 537133. The reversal of 537129 is 921735.

537129 is a `hidden beast` number, since 537 + 129 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 416025 + 121104 = 645^2 + 348^2 .

It is not a de Polignac number, because 537129 - 2¹ = 537127 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a d-powerful number, because it can be written as 5⁵ + 3⁷ + 1 + 7³ + 2⁵ + 9⁶ .

It is a Curzon number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (537127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 474 + ... + 1139.

It is an arithmetic number, because the mean of its divisors is an integer number (66443).

2⁵³⁷¹²⁹ is an apocalyptic number.

It is an amenable number.

537129 is a deficient number, since it is larger than the sum of its proper divisors (260187).

537129 is a wasteful number, since it uses less digits than its factorization.

537129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1653 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 537129 is about 732.8908513551. The cubic root of 537129 is about 81.2879554421.

It can be divided in two parts, 537 and 129, that added together give a palindrome (666).

The spelling of 537129 in words is "five hundred thirty-seven thousand, one hundred twenty-nine".