4631 has 4 divisors (see below), whose sum is σ = 5064. Its totient is φ = 4200.

The previous prime is 4621. The next prime is 4637. The reversal of 4631 is 1364.

Added to its reverse (1364) it gives a triangular number (5995 = T_{109}).

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 4631 - 2^{6} = 4567 is a prime.

It is a super-2 number, since 2×4631^{2} = 42892322, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 15.

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 4631.

It is not an unprimeable number, because it can be changed into a prime (4637) 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, 200 + ... + 221.

It is an arithmetic number, because the mean of its divisors is an integer number (1266).

4631 is a deficient number, since it is larger than the sum of its proper divisors (433).

4631 is a wasteful number, since it uses less digits than its factorization.

4631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432.

The product of its digits is 72, while the sum is 14.

The square root of 4631 is about 68.0514511234. The cubic root of 4631 is about 16.6683109489.

Adding to 4631 its reverse (1364), we get a palindrome (5995).

It can be divided in two parts, 463 and 1, that added together give a palindrome (464).

The spelling of 4631 in words is "four thousand, six hundred thirty-one".

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