77973201 has 12 divisors (see below), whose sum is σ = 112855860. Its totient is φ = 51876960.

The previous prime is 77973179. The next prime is 77973211. The reversal of 77973201 is 10237977.

It can be written as a sum of positive squares in 2 ways, for example, as 70812225 + 7160976 = 8415^2 + 2676^2 .

It is not a de Polignac number, because 77973201 - 2¹⁰ = 77972177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77973211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3930 + ... + 13091.

It is an arithmetic number, because the mean of its divisors is an integer number (9404655).

Almost surely, 2^77973201 is an apocalyptic number.

It is an amenable number.

77973201 is a deficient number, since it is larger than the sum of its proper divisors (34882659).

77973201 is a wasteful number, since it uses less digits than its factorization.

77973201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17536 (or 17533 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 77973201 is about 8830.2435413753. The cubic root of 77973201 is about 427.2169296672.

The spelling of 77973201 in words is "seventy-seven million, nine hundred seventy-three thousand, two hundred one".