4914 has 32 divisors (see below), whose sum is σ = 13440. Its totient is φ = 1296.

The previous prime is 4909. The next prime is 4919. The reversal of 4914 is 4194.

It is a Cunningham number, because it is equal to 17³+1.

It is an interprime number because it is at equal distance from previous prime (4909) and next prime (4919).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4919) by changing a digit.

4914 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372 + ... + 384.

It is an arithmetic number, because the mean of its divisors is an integer number (420).

2⁴⁹¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6720).

4914 is an abundant number, since it is smaller than the sum of its proper divisors (8526).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4914 is a wasteful number, since it uses less digits than its factorization.

4914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 25 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 4914 is about 70.0999286733. The cubic root of 4914 is about 17.0011533243.

It can be divided in two parts, 49 and 14, that multiplied together give a palindrome (686).

The spelling of 4914 in words is "four thousand, nine hundred fourteen".