7381837 has 2 divisors, whose sum is σ = 7381838. Its totient is φ = 7381836.

The previous prime is 7381831. The next prime is 7381841.

7381837 is nontrivially palindromic in base 10.

7381837 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7295401 + 86436 = 2701^2 + 294^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 7381837 - 2¹⁹ = 6857549 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7381796 and 7381805.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7381831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3690918 + 3690919.

It is an arithmetic number, because the mean of its divisors is an integer number (3690919).

Almost surely, 2^7381837 is an apocalyptic number.

It is an amenable number.

7381837 is a deficient number, since it is larger than the sum of its proper divisors (1).

7381837 is an equidigital number, since it uses as much as digits as its factorization.

7381837 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28224, while the sum is 37.

The square root of 7381837 is about 2716.9536249263. The cubic root of 7381837 is about 194.7099523096.

The spelling of 7381837 in words is "seven million, three hundred eighty-one thousand, eight hundred thirty-seven".