97434962937225 has 81 divisors (see below), whose sum is σ = 175032048769383. Its totient is φ = 51812353867680.

The previous prime is 97434962937167. The next prime is 97434962937253. The reversal of 97434962937225 is 52273926943479.

It is a happy number.

The square root of 97434962937225 is 9870915.

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

97434962937225 is a `hidden beast` number, since 9 + 7 + 4 + 349 + 6 + 29 + 37 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35076586657401 + 62358376279824 = 5922549^2 + 7896732^2 .

It is not a de Polignac number, because 97434962937225 - 2¹⁹ = 97434962412937 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 64999974526 + ... + 64999976024.

Almost surely, 2^{97434962937225} is an apocalyptic number.

97434962937225 is the 9870915-th square number.

97434962937225 is the 4935458-th centered octagonal number.

It is an amenable number.

97434962937225 is a deficient number, since it is larger than the sum of its proper divisors (77597085832158).

97434962937225 is an frugal number, since it uses more digits than its factorization.

97434962937225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 1946 counting only the distinct ones).

The product of its digits is 1234517760, while the sum is 72.

It can be divided in two parts, 9743496 and 2937225, that added together give a square (12680721 = 3561²).

The spelling of 97434962937225 in words is "ninety-seven trillion, four hundred thirty-four billion, nine hundred sixty-two million, nine hundred thirty-seven thousand, two hundred twenty-five".