32825340 has 72 divisors (see below), whose sum is σ = 101909808. Its totient is φ = 8547840.

The previous prime is 32825339. The next prime is 32825341. The reversal of 32825340 is 4352823.

It is an interprime number because it is at equal distance from previous prime (32825339) and next prime (32825341).

It is a super-2 number, since 2×32825340² = 2155005892231200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32825341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5620 + ... + 9860.

It is an arithmetic number, because the mean of its divisors is an integer number (1415414).

Almost surely, 2^32825340 is an apocalyptic number.

32825340 is a gapful number since it is divisible by the number (30) 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 32825340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50954904).

32825340 is an abundant number, since it is smaller than the sum of its proper divisors (69084468).

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

32825340 is a wasteful number, since it uses less digits than its factorization.

32825340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4299 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 32825340 is about 5729.3402761575. The cubic root of 32825340 is about 320.1865448779.

The spelling of 32825340 in words is "thirty-two million, eight hundred twenty-five thousand, three hundred forty".