137073821 has 2 divisors, whose sum is σ = 137073822. Its totient is φ = 137073820.

The previous prime is 137073817. The next prime is 137073857. The reversal of 137073821 is 128370731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136562596 + 511225 = 11686^2 + 715^2 .

It is an emirp because it is prime and its reverse (128370731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137073821 - 2² = 137073817 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137073221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68536910 + 68536911.

It is an arithmetic number, because the mean of its divisors is an integer number (68536911).

Almost surely, 2^137073821 is an apocalyptic number.

It is an amenable number.

137073821 is a deficient number, since it is larger than the sum of its proper divisors (1).

137073821 is an equidigital number, since it uses as much as digits as its factorization.

137073821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 137073821 is about 11707.8529628621. The cubic root of 137073821 is about 515.6062499506.

The spelling of 137073821 in words is "one hundred thirty-seven million, seventy-three thousand, eight hundred twenty-one".