137653847 has 2 divisors, whose sum is σ = 137653848. Its totient is φ = 137653846.

The previous prime is 137653829. The next prime is 137653849. The reversal of 137653847 is 748356731.

137653847 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (748356731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137653847 - 2⁶ = 137653783 is a prime.

Together with 137653849, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 137653798 and 137653807.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137653849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68826923 + 68826924.

It is an arithmetic number, because the mean of its divisors is an integer number (68826924).

Almost surely, 2^137653847 is an apocalyptic number.

137653847 is a deficient number, since it is larger than the sum of its proper divisors (1).

137653847 is an equidigital number, since it uses as much as digits as its factorization.

137653847 is an evil number, because the sum of its binary digits is even.

The product of its digits is 423360, while the sum is 44.

The square root of 137653847 is about 11732.5976237149. The cubic root of 137653847 is about 516.3324868244.

The spelling of 137653847 in words is "one hundred thirty-seven million, six hundred fifty-three thousand, eight hundred forty-seven".