137812397 has 2 divisors, whose sum is σ = 137812398. Its totient is φ = 137812396.

The previous prime is 137812361. The next prime is 137812403. The reversal of 137812397 is 793218731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109286116 + 28526281 = 10454^2 + 5341^2 .

It is a cyclic number.

It is not a de Polignac number, because 137812397 - 2²⁴ = 121035181 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 (137812307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68906198 + 68906199.

It is an arithmetic number, because the mean of its divisors is an integer number (68906199).

Almost surely, 2^137812397 is an apocalyptic number.

It is an amenable number.

137812397 is a deficient number, since it is larger than the sum of its proper divisors (1).

137812397 is an equidigital number, since it uses as much as digits as its factorization.

137812397 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 63504, while the sum is 41.

The square root of 137812397 is about 11739.3524949207. The cubic root of 137812397 is about 516.5306483895.

The spelling of 137812397 in words is "one hundred thirty-seven million, eight hundred twelve thousand, three hundred ninety-seven".