2892013 has 2 divisors, whose sum is σ = 2892014. Its totient is φ = 2892012.

The previous prime is 2891981. The next prime is 2892037. The reversal of 2892013 is 3102982.

2892013 = 1202² + 1203².

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1447209 + 1444804 = 1203^2 + 1202^2 .

It is a cyclic number.

It is not a de Polignac number, because 2892013 - 2⁵ = 2891981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2892053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1446006 + 1446007.

It is an arithmetic number, because the mean of its divisors is an integer number (1446007).

2^2892013 is an apocalyptic number.

2892013 is the 1203-rd centered square number.

It is an amenable number.

2892013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2892013 is an equidigital number, since it uses as much as digits as its factorization.

2892013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 2892013 is about 1700.5919557613. The cubic root of 2892013 is about 142.4732770245.

Adding to 2892013 its reverse (3102982), we get a palindrome (5994995).

The spelling of 2892013 in words is "two million, eight hundred ninety-two thousand, thirteen".