137629997 has 2 divisors, whose sum is σ = 137629998. Its totient is φ = 137629996.

The previous prime is 137629979. The next prime is 137630033. The reversal of 137629997 is 799926731.

It is a happy number.

Together with previous prime (137629979) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87347716 + 50282281 = 9346^2 + 7091^2 .

It is an emirp because it is prime and its reverse (799926731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137629997 - 2²⁰ = 136581421 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137629957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68814998 + 68814999.

It is an arithmetic number, because the mean of its divisors is an integer number (68814999).

Almost surely, 2^137629997 is an apocalyptic number.

It is an amenable number.

137629997 is a deficient number, since it is larger than the sum of its proper divisors (1).

137629997 is an equidigital number, since it uses as much as digits as its factorization.

137629997 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1285956, while the sum is 53.

The square root of 137629997 is about 11731.5811807275. The cubic root of 137629997 is about 516.3026650617.

The spelling of 137629997 in words is "one hundred thirty-seven million, six hundred twenty-nine thousand, nine hundred ninety-seven".