77973 has 16 divisors (see below), whose sum is σ = 122880. Its totient is φ = 43056.

The previous prime is 77969. The next prime is 77977. The reversal of 77973 is 37977.

It is an interprime number because it is at equal distance from previous prime (77969) and next prime (77977).

It is not a de Polignac number, because 77973 - 2² = 77969 is a prime.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 948 + ... + 1026.

It is an arithmetic number, because the mean of its divisors is an integer number (7680).

2⁷⁷⁹⁷³ is an apocalyptic number.

It is an amenable number.

77973 is a deficient number, since it is larger than the sum of its proper divisors (44907).

77973 is a wasteful number, since it uses less digits than its factorization.

77973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136.

The product of its digits is 9261, while the sum is 33.

The square root of 77973 is about 279.2364589376. The cubic root of 77973 is about 42.7216562572.

The spelling of 77973 in words is "seventy-seven thousand, nine hundred seventy-three".