97126524167841 has 135 divisors (see below), whose sum is σ = 169660178429313. Its totient is φ = 55212426647280.

The previous prime is 97126524167821. The next prime is 97126524167873. The reversal of 97126524167841 is 14876142562179.

It is a happy number.

The square root of 97126524167841 is 9855279.

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

97126524167841 is a `hidden beast` number, since 9 + 7 + 1 + 2 + 6 + 524 + 1 + 67 + 8 + 41 = 666.

It is not a de Polignac number, because 97126524167841 - 2²³ = 97126515779233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (97126524167821) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 193094481196 + ... + 193094481698.

Almost surely, 2^{97126524167841} is an apocalyptic number.

97126524167841 is the 9855279-th square number.

97126524167841 is the 4927640-th centered octagonal number.

It is an amenable number.

97126524167841 is a deficient number, since it is larger than the sum of its proper divisors (72533654261472).

97126524167841 is an frugal number, since it uses more digits than its factorization.

97126524167841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 824 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 97126524167841 in words is "ninety-seven trillion, one hundred twenty-six billion, five hundred twenty-four million, one hundred sixty-seven thousand, eight hundred forty-one".