32973000 has 128 divisors (see below), whose sum is σ = 106704000. Its totient is φ = 8467200.

The previous prime is 32972977. The next prime is 32973041. The reversal of 32973000 is 37923.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86811 + ... + 87189.

It is an arithmetic number, because the mean of its divisors is an integer number (833625).

Almost surely, 2^32973000 is an apocalyptic number.

32973000 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 32973000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53352000).

32973000 is an abundant number, since it is smaller than the sum of its proper divisors (73731000).

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

32973000 is a wasteful number, since it uses less digits than its factorization.

32973000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 32973000 is about 5742.2121172942. The cubic root of 32973000 is about 320.6659309220.

The spelling of 32973000 in words is "thirty-two million, nine hundred seventy-three thousand".