53957 has 4 divisors (see below), whose sum is σ = 54720. Its totient is φ = 53196.
The previous prime is 53951. The next prime is 53959. The reversal of 53957 is 75935.
53957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 75935 = 5 ⋅15187.
It is a cyclic number.
It is not a de Polignac number, because 53957 - 214 = 37573 is a prime.
It is a super-2 number, since 2×539572 = 5822715698, which contains 22 as substring.
It is an Ulam number.
It is a pancake number, because a pancake can be divided into 53957 parts by 328 straight cuts.
It is a Duffinian number.
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53957.
It is not an unprimeable number, because it can be changed into a prime (53951) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 263 + ... + 420.
It is an arithmetic number, because the mean of its divisors is an integer number (13680).
253957 is an apocalyptic number.
It is an amenable number.
53957 is a deficient number, since it is larger than the sum of its proper divisors (763).
53957 is an equidigital number, since it uses as much as digits as its factorization.
53957 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 762.
The product of its digits is 4725, while the sum is 29.
The square root of 53957 is about 232.2864610777. The cubic root of 53957 is about 37.7875961280.
It can be divided in two parts, 53 and 957, that multiplied together give a triangular number (50721 = T318).
The spelling of 53957 in words is "fifty-three thousand, nine hundred fifty-seven".
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