4097632 has 48 divisors (see below), whose sum is σ = 10063872. Its totient is φ = 1595520.

The previous prime is 4097617. The next prime is 4097633. The reversal of 4097632 is 2367904.

It is a junction number, because it is equal to n+sod(n) for n = 4097594 and 4097603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4097633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1633 + ... + 3295.

It is an arithmetic number, because the mean of its divisors is an integer number (209664).

Almost surely, 2^4097632 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 4097632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5031936).

4097632 is an abundant number, since it is smaller than the sum of its proper divisors (5966240).

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

4097632 is a wasteful number, since it uses less digits than its factorization.

4097632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 4097632 is about 2024.2608527559. The cubic root of 4097632 is about 160.0212471784.

The spelling of 4097632 in words is "four million, ninety-seven thousand, six hundred thirty-two".