4962100 has 72 divisors (see below), whose sum is σ = 12686688. Its totient is φ = 1660800.

The previous prime is 4962091. The next prime is 4962109. The reversal of 4962100 is 12694.

It is an interprime number because it is at equal distance from previous prime (4962091) and next prime (4962109).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4962109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14127 + ... + 14473.

It is an arithmetic number, because the mean of its divisors is an integer number (176204).

Almost surely, 2^4962100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4962100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6343344).

4962100 is an abundant number, since it is smaller than the sum of its proper divisors (7724588).

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

4962100 is a wasteful number, since it uses less digits than its factorization.

4962100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 4962100 is about 2227.5771591575. The cubic root of 4962100 is about 170.5644444685.

Adding to 4962100 its reverse (12694), we get a palindrome (4974794).

The spelling of 4962100 in words is "four million, nine hundred sixty-two thousand, one hundred".