537947 has 8 divisors (see below), whose sum is σ = 591360. Its totient is φ = 487080.

The previous prime is 537941. The next prime is 537991. The reversal of 537947 is 749735.

537947 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 537947 - 2⁶ = 537883 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 5³ + 3⁷ + 9⁶ + 7² + 4⁶ + 7² .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (537941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179 + ... + 1052.

It is an arithmetic number, because the mean of its divisors is an integer number (73920).

2⁵³⁷⁹⁴⁷ is an apocalyptic number.

537947 is a deficient number, since it is larger than the sum of its proper divisors (53413).

537947 is a wasteful number, since it uses less digits than its factorization.

537947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273.

The product of its digits is 26460, while the sum is 35.

The square root of 537947 is about 733.4487030461. The cubic root of 537947 is about 81.3291993032.

It can be divided in two parts, 53 and 7947, that added together give a cube (8000 = 20³).

The spelling of 537947 in words is "five hundred thirty-seven thousand, nine hundred forty-seven".