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137637397 is a prime number
BaseRepresentation
bin10000011010000…
…10111000010101
3100120222201000101
420031002320111
5240213344042
621354014101
73260620132
oct1015027025
9316881011
10137637397
1170769017
123a117331
1322690b61
14143cb589
15c13b6b7
hex8342e15

137637397 has 2 divisors, whose sum is σ = 137637398. Its totient is φ = 137637396.

The previous prime is 137637391. The next prime is 137637421. The reversal of 137637397 is 793736731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88623396 + 49014001 = 9414^2 + 7001^2 .

It is an emirp because it is prime and its reverse (793736731) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137637397 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137637391) 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, 68818698 + 68818699.

It is an arithmetic number, because the mean of its divisors is an integer number (68818699).

Almost surely, 2137637397 is an apocalyptic number.

It is an amenable number.

137637397 is a deficient number, since it is larger than the sum of its proper divisors (1).

137637397 is an equidigital number, since it uses as much as digits as its factorization.

137637397 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 500094, while the sum is 46.

The square root of 137637397 is about 11731.8965644946. The cubic root of 137637397 is about 516.3119183042.

The spelling of 137637397 in words is "one hundred thirty-seven million, six hundred thirty-seven thousand, three hundred ninety-seven".