73977 has 4 divisors (see below), whose sum is σ = 98640. Its totient is φ = 49316.

The previous prime is 73973. The next prime is 73999. The reversal of 73977 is 77937.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 73977 - 2² = 73973 is a prime.

It is a D-number.

73977 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73977.

It is not an unprimeable number, because it can be changed into a prime (73973) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12327 + ... + 12332.

It is an arithmetic number, because the mean of its divisors is an integer number (24660).

2⁷³⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

73977 is a deficient number, since it is larger than the sum of its proper divisors (24663).

73977 is a wasteful number, since it uses less digits than its factorization.

73977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24662.

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

The square root of 73977 is about 271.9871320486. The cubic root of 73977 is about 41.9790144595.

Adding to 73977 its product of digits (9261), we get a palindrome (83238).

The spelling of 73977 in words is "seventy-three thousand, nine hundred seventy-seven".