77005973 has 12 divisors (see below), whose sum is σ = 86038764. Its totient is φ = 68851200.

The previous prime is 77005969. The next prime is 77006003. The reversal of 77005973 is 37950077.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 21548164 + 55457809 = 4642^2 + 7447^2 .

It is not a de Polignac number, because 77005973 - 2² = 77005969 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77005963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2165 + ... + 12597.

It is an arithmetic number, because the mean of its divisors is an integer number (7169897).

Almost surely, 2^77005973 is an apocalyptic number.

It is an amenable number.

77005973 is a deficient number, since it is larger than the sum of its proper divisors (9032791).

77005973 is a wasteful number, since it uses less digits than its factorization.

77005973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10516 (or 10505 counting only the distinct ones).

The product of its (nonzero) digits is 46305, while the sum is 38.

The square root of 77005973 is about 8775.3047240537. The cubic root of 77005973 is about 425.4430866853.

The spelling of 77005973 in words is "seventy-seven million, five thousand, nine hundred seventy-three".