46977 has 8 divisors (see below), whose sum is σ = 71616. Its totient is φ = 26832.

The previous prime is 46957. The next prime is 46993. The reversal of 46977 is 77964.

46977 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 46977 - 2¹⁰ = 45953 is a prime.

It is a d-powerful number, because it can be written as 4⁴ + 6⁶ + 9 + 7 + 7² .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 46977.

It is not an unprimeable number, because it can be changed into a prime (46957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1098 + ... + 1139.

It is an arithmetic number, because the mean of its divisors is an integer number (8952).

2⁴⁶⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

46977 is a deficient number, since it is larger than the sum of its proper divisors (24639).

46977 is a wasteful number, since it uses less digits than its factorization.

46977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247.

The product of its digits is 10584, while the sum is 33.

The square root of 46977 is about 216.7417818511. The cubic root of 46977 is about 36.0823731033.

The spelling of 46977 in words is "forty-six thousand, nine hundred seventy-seven".