97137461 has 2 divisors, whose sum is σ = 97137462. Its totient is φ = 97137460.

The previous prime is 97137433. The next prime is 97137463. The reversal of 97137461 is 16473179.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73856836 + 23280625 = 8594^2 + 4825^2 .

It is an emirp because it is prime and its reverse (16473179) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 97137461 - 2¹⁰ = 97136437 is a prime.

Together with 97137463, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (97137463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48568730 + 48568731.

It is an arithmetic number, because the mean of its divisors is an integer number (48568731).

Almost surely, 2^97137461 is an apocalyptic number.

It is an amenable number.

97137461 is a deficient number, since it is larger than the sum of its proper divisors (1).

97137461 is an equidigital number, since it uses as much as digits as its factorization.

97137461 is an evil number, because the sum of its binary digits is even.

The product of its digits is 31752, while the sum is 38.

The square root of 97137461 is about 9855.8338561483. The cubic root of 97137461 is about 459.6870287623.

The spelling of 97137461 in words is "ninety-seven million, one hundred thirty-seven thousand, four hundred sixty-one".