97365841225 has 27 divisors (see below), whose sum is σ = 128288332021. Its totient is φ = 73290780800.

The previous prime is 97365841201. The next prime is 97365841249. The reversal of 97365841225 is 52214856379.

The square root of 97365841225 is 312035.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (97365841201) and next prime (97365841249).

It can be written as a sum of positive squares in 4 ways, for example, as 2277484729 + 95088356496 = 47723^2 + 308364^2 .

It is not a de Polignac number, because 97365841225 - 2¹⁵ = 97365808457 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26521140 + ... + 26524810.

Almost surely, 2^97365841225 is an apocalyptic number.

97365841225 is the 312035-th square number.

97365841225 is the 156018-th centered octagonal number.

It is an amenable number.

97365841225 is a deficient number, since it is larger than the sum of its proper divisors (30922490796).

97365841225 is an frugal number, since it uses more digits than its factorization.

97365841225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7386 (or 3693 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 52.

The spelling of 97365841225 in words is "ninety-seven billion, three hundred sixty-five million, eight hundred forty-one thousand, two hundred twenty-five".