63827253 has 36 divisors (see below), whose sum is σ = 108384588. Its totient is φ = 36086400.

The previous prime is 63827237. The next prime is 63827263. The reversal of 63827253 is 35272836.

It can be written as a sum of positive squares in 2 ways, for example, as 57790404 + 6036849 = 7602^2 + 2457^2 .

It is not a de Polignac number, because 63827253 - 2⁴ = 63827237 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63827263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43825 + ... + 45257.

It is an arithmetic number, because the mean of its divisors is an integer number (3010683).

Almost surely, 2^63827253 is an apocalyptic number.

63827253 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

63827253 is a deficient number, since it is larger than the sum of its proper divisors (44557335).

63827253 is a wasteful number, since it uses less digits than its factorization.

63827253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1544 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 63827253 is about 7989.1960171221. The cubic root of 63827253 is about 399.6397861290.

The spelling of 63827253 in words is "sixty-three million, eight hundred twenty-seven thousand, two hundred fifty-three".