2812013 has 2 divisors, whose sum is σ = 2812014. Its totient is φ = 2812012.

The previous prime is 2812001. The next prime is 2812031. The reversal of 2812013 is 3102182.

Together with next prime (2812031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2778889 + 33124 = 1667^2 + 182^2 .

It is a cyclic number.

It is not a de Polignac number, because 2812013 - 2¹⁰ = 2810989 is a prime.

It is a super-2 number, since 2×2812013² = 15814834224338, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2811982 and 2812000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2812063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1406006 + 1406007.

It is an arithmetic number, because the mean of its divisors is an integer number (1406007).

2^2812013 is an apocalyptic number.

It is an amenable number.

2812013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2812013 is an equidigital number, since it uses as much as digits as its factorization.

2812013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2812013 is about 1676.9057814916. The cubic root of 2812013 is about 141.1472565810.

Adding to 2812013 its reverse (3102182), we get a palindrome (5914195).

The spelling of 2812013 in words is "two million, eight hundred twelve thousand, thirteen".