540829 has 8 divisors (see below), whose sum is σ = 569088. Its totient is φ = 513360.

The previous prime is 540823. The next prime is 540851. The reversal of 540829 is 928045.

540829 = T₈₂ + T₈₃ + ... + T₁₅₅.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-540829 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 540797 and 540806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540823) 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 7 ways as a sum of consecutive naturals, for example, 1584 + ... + 1894.

It is an arithmetic number, because the mean of its divisors is an integer number (71136).

2⁵⁴⁰⁸²⁹ is an apocalyptic number.

It is an amenable number.

540829 is a deficient number, since it is larger than the sum of its proper divisors (28259).

540829 is a wasteful number, since it uses less digits than its factorization.

540829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 540829 is about 735.4107695703. The cubic root of 540829 is about 81.4741785287.

It can be divided in two parts, 540 and 829, that added together give a square (1369 = 37²).

The spelling of 540829 in words is "five hundred forty thousand, eight hundred twenty-nine".