14977 has 4 divisors (see below), whose sum is σ = 15876. Its totient is φ = 14080.

The previous prime is 14969. The next prime is 14983. The reversal of 14977 is 77941.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 77941 = 41 ⋅1901.

It can be written as a sum of positive squares in 2 ways, for example, as 7056 + 7921 = 84^2 + 89^2 .

It is a cyclic number.

It is not a de Polignac number, because 14977 - 2³ = 14969 is a prime.

It is a Duffinian number.

14977 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (14947) 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, 424 + ... + 457.

It is an arithmetic number, because the mean of its divisors is an integer number (3969).

It is a Proth number, since it is equal to 117 ⋅ 2⁷ + 1 and 117 < 2⁷.

2¹⁴⁹⁷⁷ is an apocalyptic number.

14977 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

14977 is a deficient number, since it is larger than the sum of its proper divisors (899).

14977 is an equidigital number, since it uses as much as digits as its factorization.

14977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898.

The product of its digits is 1764, while the sum is 28.

The square root of 14977 is about 122.3805540108. The cubic root of 14977 is about 24.6495092113.

The spelling of 14977 in words is "fourteen thousand, nine hundred seventy-seven".