97456976761 has 9 divisors (see below), whose sum is σ = 97911430981. Its totient is φ = 97004626492.

The previous prime is 97456976713. The next prime is 97456976789. The reversal of 97456976761 is 16767965479.

The square root of 97456976761 is 312181.

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

It is not a de Polignac number, because 97456976761 - 2¹⁹ = 97456452473 is a prime.

It is a super-2 number, since 2×97456976761² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97456976161) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 82103010 + ... + 82104196.

Almost surely, 2^97456976761 is an apocalyptic number.

97456976761 is the 312181-st square number.

97456976761 is the 156091-st centered octagonal number.

It is an amenable number.

97456976761 is a deficient number, since it is larger than the sum of its proper divisors (454454220).

97456976761 is an frugal number, since it uses more digits than its factorization.

97456976761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900 (or 1450 counting only the distinct ones).

The product of its digits is 120022560, while the sum is 67.

The spelling of 97456976761 in words is "ninety-seven billion, four hundred fifty-six million, nine hundred seventy-six thousand, seven hundred sixty-one".