973640100401 has 8 divisors (see below), whose sum is σ = 984634056360. Its totient is φ = 962647348608.

The previous prime is 973640100319. The next prime is 973640100431. The reversal of 973640100401 is 104001046379.

973640100401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 88866591025 + 884773509376 = 298105^2 + 940624^2 .

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 973640100401 - 2²² = 973635906097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (973640100431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1377755 + ... + 1960991.

It is an arithmetic number, because the mean of its divisors is an integer number (123079257045).

Almost surely, 2^973640100401 is an apocalyptic number.

It is an amenable number.

973640100401 is a deficient number, since it is larger than the sum of its proper divisors (10993955959).

973640100401 is a wasteful number, since it uses less digits than its factorization.

973640100401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602083.

The product of its (nonzero) digits is 18144, while the sum is 35.

The spelling of 973640100401 in words is "nine hundred seventy-three billion, six hundred forty million, one hundred thousand, four hundred one".