97772400001 has 8 divisors (see below), whose sum is σ = 101205697320. Its totient is φ = 94343225088.

The previous prime is 97772399993. The next prime is 97772400017. The reversal of 97772400001 is 10000427779.

It can be written as a sum of positive squares in 4 ways, for example, as 84272400 + 97688127601 = 9180^2 + 312551^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 97772400001 - 2³ = 97772399993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97772400071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 982296 + ... + 1077241.

It is an arithmetic number, because the mean of its divisors is an integer number (12650712165).

Almost surely, 2^97772400001 is an apocalyptic number.

It is an amenable number.

97772400001 is a deficient number, since it is larger than the sum of its proper divisors (3433297319).

97772400001 is a wasteful number, since it uses less digits than its factorization.

97772400001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061203.

The product of its (nonzero) digits is 24696, while the sum is 37.

The spelling of 97772400001 in words is "ninety-seven billion, seven hundred seventy-two million, four hundred thousand, one".