3124 has 12 divisors (see below), whose sum is σ = 6048. Its totient is φ = 1400.

The previous prime is 3121. The next prime is 3137. The reversal of 3124 is 4213.

Adding to 3124 its reverse (4213), we get a palindrome (7337).

Subtracting 3124 from its reverse (4213), we obtain a square (1089 = 33^{2}).

It can be divided in two parts, 31 and 24, that added together give a palindrome (55).

3124 is nontrivially palindromic in base 5.

It is a Cunningham number, because it is equal to 5^{5}-1.

3124 is a nontrivial repdigit in base 5.

It is a plaindrome in base 5 and base 6.

It is a nialpdrome in base 5 and base 15.

It is a zygodrome in base 5 and base 6.

It is a self number, because there is not a number *n* which added to its sum of digits gives 3124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9 + ... + 79.

It is an arithmetic number, because the mean of its divisors is an integer number (504).

2^{3124} is an apocalyptic number.

It is an amenable number.

3124 is a deficient number, since it is larger than the sum of its proper divisors (2924).

3124 is a wasteful number, since it uses less digits than its factorization.

3124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 84 counting only the distinct ones).

The product of its digits is 24, while the sum is 10.

The square root of 3124 is about 55.8927544499. The cubic root of 3124 is about 14.6185290486.

The spelling of 3124 in words is "three thousand, one hundred twenty-four", and thus it is an iban number.

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