63031 has 2 divisors, whose sum is σ = 63032. Its totient is φ = 63030.

The previous prime is 63029. The next prime is 63059. The reversal of 63031 is 13036.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 63031 - 2¹ = 63029 is a prime.

It is a super-2 number, since 2×63031² = 7945813922, which contains 22 as substring.

Together with 63029, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₆₃₂₂ and since 63031 and 6322 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (63131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31515 + 31516.

It is an arithmetic number, because the mean of its divisors is an integer number (31516).

2⁶³⁰³¹ is an apocalyptic number.

63031 is a deficient number, since it is larger than the sum of its proper divisors (1).

63031 is an equidigital number, since it uses as much as digits as its factorization.

63031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 63031 is about 251.0597538436. The cubic root of 63031 is about 39.7970975047.

Adding to 63031 its reverse (13036), we get a palindrome (76067).

The spelling of 63031 in words is "sixty-three thousand, thirty-one".