45535032 has 96 divisors (see below), whose sum is σ = 132986880. Its totient is φ = 14034240.

The previous prime is 45535019. The next prime is 45535037. The reversal of 45535032 is 23053554.

It is a junction number, because it is equal to n+sod(n) for n = 45534987 and 45535005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45535037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50893 + ... + 51779.

It is an arithmetic number, because the mean of its divisors is an integer number (1385280).

Almost surely, 2^45535032 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 45535032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66493440).

45535032 is an abundant number, since it is smaller than the sum of its proper divisors (87451848).

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

45535032 is a wasteful number, since it uses less digits than its factorization.

45535032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 45535032 is about 6747.9650265839. The cubic root of 45535032 is about 357.0934482201.

Adding to 45535032 its reverse (23053554), we get a palindrome (68588586).

The spelling of 45535032 in words is "forty-five million, five hundred thirty-five thousand, thirty-two".