2975632 has 60 divisors (see below), whose sum is σ = 6679260. Its totient is φ = 1281280.

The previous prime is 2975593. The next prime is 2975639. The reversal of 2975632 is 2365792.

It is a happy number.

2975632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1860496 + 1115136 = 1364^2 + 1056^2 .

It is a d-powerful number, because it can be written as 2¹³ + 9² + 7⁷ + 5 + 6⁶ + 3 + 2²¹ .

It is not an unprimeable number, because it can be changed into a prime (2975639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56118 + ... + 56170.

It is an arithmetic number, because the mean of its divisors is an integer number (111321).

2^2975632 is an apocalyptic number.

2975632 is a gapful number since it is divisible by the number (22) 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 2975632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339630).

2975632 is an abundant number, since it is smaller than the sum of its proper divisors (3703628).

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

2975632 is a wasteful number, since it uses less digits than its factorization.

2975632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

The product of its digits is 22680, while the sum is 34.

The square root of 2975632 is about 1725.0020289843. The cubic root of 2975632 is about 143.8333978574.

It can be divided in two parts, 297 and 5632, that added together give a square (5929 = 77²).

The spelling of 2975632 in words is "two million, nine hundred seventy-five thousand, six hundred thirty-two".