• 539372 = 2909199969 is the smallest square that contains exactly six digits '9'.
53937 has 12 divisors (see below), whose sum is σ = 84084. Its totient is φ = 33120.
The previous prime is 53927. The next prime is 53939. The reversal of 53937 is 73935.
53937 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 12321 + 41616 = 111^2 + 204^2 .
It is not a de Polignac number, because 53937 - 28 = 53681 is a prime.
It is a self number, because there is not a number n which added to its sum of digits gives 53937.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53937.
It is not an unprimeable number, because it can be changed into a prime (53939) 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, 114 + ... + 347.
It is an arithmetic number, because the mean of its divisors is an integer number (7007).
253937 is an apocalyptic number.
It is an amenable number.
53937 is a deficient number, since it is larger than the sum of its proper divisors (30147).
53937 is a wasteful number, since it uses less digits than its factorization.
53937 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 480 (or 477 counting only the distinct ones).
The product of its digits is 2835, while the sum is 27.
The square root of 53937 is about 232.2434067955. The cubic root of 53937 is about 37.7829266979.
It can be divided in two parts, 539 and 37, that added together give a square (576 = 242).
The spelling of 53937 in words is "fifty-three thousand, nine hundred thirty-seven".
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