97834456225 has 63 divisors (see below), whose sum is σ = 136345882339. Its totient is φ = 69638452400.

The previous prime is 97834456201. The next prime is 97834456267. The reversal of 97834456225 is 52265443879.

It is a happy number.

The square root of 97834456225 is 312785.

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

It can be written as a sum of positive squares in only one way, i.e., 35220404241 + 62614051984 = 187671^2 + 250228^2 .

It is not a de Polignac number, because 97834456225 - 2⁵ = 97834456193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

Its product of digits (14515200) is a multiple of the sum of its prime divisors (63).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2081584152 + ... + 2081584198.

Almost surely, 2^97834456225 is an apocalyptic number.

97834456225 is the 312785-th square number.

97834456225 is the 156393-rd centered octagonal number.

It is an amenable number.

97834456225 is a deficient number, since it is larger than the sum of its proper divisors (38511426114).

97834456225 is an frugal number, since it uses more digits than its factorization.

97834456225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 63 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 55.

The spelling of 97834456225 in words is "ninety-seven billion, eight hundred thirty-four million, four hundred fifty-six thousand, two hundred twenty-five".