77114993 has 8 divisors (see below), whose sum is σ = 79929960. Its totient is φ = 74338560.

The previous prime is 77114957. The next prime is 77115001. The reversal of 77114993 is 39941177.

It can be written as a sum of positive squares in 4 ways, for example, as 49730704 + 27384289 = 7052^2 + 5233^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-77114993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 77114993.

It is not an unprimeable number, because it can be changed into a prime (77114693) 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 7 ways as a sum of consecutive naturals, for example, 5528 + ... + 13593.

It is an arithmetic number, because the mean of its divisors is an integer number (9991245).

Almost surely, 2^77114993 is an apocalyptic number.

It is an amenable number.

77114993 is a deficient number, since it is larger than the sum of its proper divisors (2814967).

77114993 is a wasteful number, since it uses less digits than its factorization.

77114993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19267.

The product of its digits is 47628, while the sum is 41.

The square root of 77114993 is about 8781.5142771620. The cubic root of 77114993 is about 425.6437634753.

The spelling of 77114993 in words is "seventy-seven million, one hundred fourteen thousand, nine hundred ninety-three".