97258013 has 2 divisors, whose sum is σ = 97258014. Its totient is φ = 97258012.

The previous prime is 97258009. The next prime is 97258079. The reversal of 97258013 is 31085279.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84676804 + 12581209 = 9202^2 + 3547^2 .

It is an emirp because it is prime and its reverse (31085279) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 97258013 - 2² = 97258009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (97251013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48629006 + 48629007.

It is an arithmetic number, because the mean of its divisors is an integer number (48629007).

Almost surely, 2^97258013 is an apocalyptic number.

It is an amenable number.

97258013 is a deficient number, since it is larger than the sum of its proper divisors (1).

97258013 is an equidigital number, since it uses as much as digits as its factorization.

97258013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 97258013 is about 9861.9477285169. The cubic root of 97258013 is about 459.8771143078.

It can be divided in two parts, 972 and 58013, that added together give a palindrome (58985).

The spelling of 97258013 in words is "ninety-seven million, two hundred fifty-eight thousand, thirteen".