537759 has 12 divisors (see below), whose sum is σ = 805896. Its totient is φ = 358344.

The previous prime is 537749. The next prime is 537769. The reversal of 537759 is 957735.

537759 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (537749) and next prime (537769).

It is not a de Polignac number, because 537759 - 2⁴ = 537743 is a prime.

537759 is a lucky number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 864 + ... + 1349.

It is an arithmetic number, because the mean of its divisors is an integer number (67158).

2⁵³⁷⁷⁵⁹ is an apocalyptic number.

537759 is a deficient number, since it is larger than the sum of its proper divisors (268137).

537759 is an equidigital number, since it uses as much as digits as its factorization.

537759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2216 counting only the distinct ones).

The product of its digits is 33075, while the sum is 36.

The square root of 537759 is about 733.3205301913. The cubic root of 537759 is about 81.3197239763.

It can be divided in two parts, 537 and 759, that added together give a 4-th power (1296 = 6⁴).

The spelling of 537759 in words is "five hundred thirty-seven thousand, seven hundred fifty-nine".