4962132 has 108 divisors (see below), whose sum is σ = 15249780. Its totient is φ = 1354752.

The previous prime is 4962131. The next prime is 4962137. The reversal of 4962132 is 2312694.

4962132 is a `hidden beast` number, since 4 + 9 + 621 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2414916 + 2547216 = 1554^2 + 1596^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4962096 and 4962105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4962131) 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 35 ways as a sum of consecutive naturals, for example, 51108 + ... + 51204.

Almost surely, 2^4962132 is an apocalyptic number.

4962132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4962132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7624890).

4962132 is an abundant number, since it is smaller than the sum of its proper divisors (10287648).

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

4962132 is a wasteful number, since it uses less digits than its factorization.

4962132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 4962132 is about 2227.5843418376. The cubic root of 4962132 is about 170.5648111177.

It can be divided in two parts, 496 and 2132, that added together give a triangular number (2628 = T₇₂).

The spelling of 4962132 in words is "four million, nine hundred sixty-two thousand, one hundred thirty-two".