32157000 has 160 divisors (see below), whose sum is σ = 112689720. Its totient is φ = 8553600.

The previous prime is 32156983. The next prime is 32157001. The reversal of 32157000 is 75123.

It can be written as a sum of positive squares in 4 ways, for example, as 12068676 + 20088324 = 3474^2 + 4482^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (32157001) 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 39 ways as a sum of consecutive naturals, for example, 80802 + ... + 81198.

Almost surely, 2^32157000 is an apocalyptic number.

32157000 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 32157000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56344860).

32157000 is an abundant number, since it is smaller than the sum of its proper divisors (80532720).

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

32157000 is a wasteful number, since it uses less digits than its factorization.

32157000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 32157000 is about 5670.7142407284. The cubic root of 32157000 is about 317.9985759993.

The spelling of 32157000 in words is "thirty-two million, one hundred fifty-seven thousand".