Search a number
4974 = 23829

4974 has 8 divisors (see below), whose sum is σ = 9960. Its totient is φ = 1656.

The previous prime is 4973. The next prime is 4987. The reversal of 4974 is 4794.

Subtracting from 4974 its sum of digits (24), we obtain a triangular number (4950 = T99).

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

4974 is an admirable number.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a plaindrome in base 8, base 13 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4973) 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, 409 + ... + 420.

It is an arithmetic number, because the mean of its divisors is an integer number (1245).

24974 is an apocalyptic number.

4974 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4980).

4974 is a wasteful number, since it uses less digits than its factorization.

4974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834.

The product of its digits is 1008, while the sum is 24.

The square root of 4974 is about 70.5265907300. The cubic root of 4974 is about 17.0700683595.

The spelling of 4974 in words is "four thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 829 1658 2487 4974