4962 has 8 divisors (see below), whose sum is σ = 9936. Its totient is φ = 1652.

The previous prime is 4957. The next prime is 4967. The reversal of 4962 is 2694.

It is an interprime number because it is at equal distance from previous prime (4957) and next prime (4967).

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

4962 is an admirable number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (4967) by changing a digit.

4962 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 3 ways as a sum of consecutive naturals, for example, 408 + ... + 419.

It is an arithmetic number, because the mean of its divisors is an integer number (1242).

2⁴⁹⁶² is an apocalyptic number.

4962 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 (4968).

4962 is a wasteful number, since it uses less digits than its factorization.

4962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832.

The product of its digits is 432, while the sum is 21.

The square root of 4962 is about 70.4414650614. The cubic root of 4962 is about 17.0563298679.

It can be divided in two parts, 49 and 62, that added together give a palindrome (111).

The spelling of 4962 in words is "four thousand, nine hundred sixty-two".