53629 has 2 divisors, whose sum is σ = 53630. Its totient is φ = 53628.
The previous prime is 53623. The next prime is 53633. The reversal of 53629 is 92635.
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 52900 + 729 = 230^2 + 27^2 .
It is a cyclic number.
It is not a de Polignac number, because 53629 - 25 = 53597 is a prime.
It is a pancake number, because a pancake can be divided into 53629 parts by 327 straight cuts.
53629 is a lucky number.
It is a plaindrome in base 14.
It is a congruent number.
It is not a weakly prime, because it can be changed into another prime (53623) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26814 + 26815.
It is an arithmetic number, because the mean of its divisors is an integer number (26815).
253629 is an apocalyptic number.
It is an amenable number.
53629 is a deficient number, since it is larger than the sum of its proper divisors (1).
53629 is an equidigital number, since it uses as much as digits as its factorization.
53629 is an evil number, because the sum of its binary digits is even.
The product of its digits is 1620, while the sum is 25.
The square root of 53629 is about 231.5793600475. The cubic root of 53629 is about 37.7108712583.
It can be divided in two parts, 536 and 29, that added together give a palindrome (565).
The spelling of 53629 in words is "fifty-three thousand, six hundred twenty-nine".
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