2137613 has 2 divisors, whose sum is σ = 2137614. Its totient is φ = 2137612.

The previous prime is 2137571. The next prime is 2137627. The reversal of 2137613 is 3167312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2137444 + 169 = 1462^2 + 13^2 .

It is a cyclic number.

It is not a de Polignac number, because 2137613 - 2⁶ = 2137549 is a prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 2¹⁹ + 1 + 3⁷ + 7⁵ + 6 + 1 + 3¹³ .

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2137673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1068806 + 1068807.

It is an arithmetic number, because the mean of its divisors is an integer number (1068807).

2^2137613 is an apocalyptic number.

It is an amenable number.

2137613 is a deficient number, since it is larger than the sum of its proper divisors (1).

2137613 is an equidigital number, since it uses as much as digits as its factorization.

2137613 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756, while the sum is 23.

The square root of 2137613 is about 1462.0577963952. The cubic root of 2137613 is about 128.8179432135.

The spelling of 2137613 in words is "two million, one hundred thirty-seven thousand, six hundred thirteen".