537761 has 8 divisors (see below), whose sum is σ = 650880. Its totient is φ = 433728.

The previous prime is 537749. The next prime is 537769. The reversal of 537761 is 167735.

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 537761 - 2¹⁴ = 521377 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 537761.

It is not an unprimeable number, because it can be changed into a prime (537769) 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, 2141 + ... + 2378.

It is an arithmetic number, because the mean of its divisors is an integer number (81360).

537761 is a Friedman number, since it can be written as (7+7)^(5*1)-63, using all its digits and the basic arithmetic operations.

2⁵³⁷⁷⁶¹ is an apocalyptic number.

It is an amenable number.

537761 is a deficient number, since it is larger than the sum of its proper divisors (113119).

537761 is a wasteful number, since it uses less digits than its factorization.

537761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4543.

The product of its digits is 4410, while the sum is 29.

The square root of 537761 is about 733.3218938502. The cubic root of 537761 is about 81.3198247893.

It can be divided in two parts, 5 and 37761, that multiplied together give a triangular number (188805 = T₆₁₄).

The spelling of 537761 in words is "five hundred thirty-seven thousand, seven hundred sixty-one".