2812993 has 2 divisors, whose sum is σ = 2812994. Its totient is φ = 2812992.

The previous prime is 2812967. The next prime is 2813011. The reversal of 2812993 is 3992182.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1620529 + 1192464 = 1273^2 + 1092^2 .

It is a cyclic number.

It is not a de Polignac number, because 2812993 - 2⁵ = 2812961 is a prime.

2812993 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (2812193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1406496 + 1406497.

It is an arithmetic number, because the mean of its divisors is an integer number (1406497).

2^2812993 is an apocalyptic number.

2812993 is the 897-th centered heptagonal number.

It is an amenable number.

2812993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2812993 is an equidigital number, since it uses as much as digits as its factorization.

2812993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7776, while the sum is 34.

The square root of 2812993 is about 1677.1979608860. The cubic root of 2812993 is about 141.1636515083.

The spelling of 2812993 in words is "two million, eight hundred twelve thousand, nine hundred ninety-three".