47133000 has 96 divisors (see below), whose sum is σ = 159339960. Its totient is φ = 12566400.

The previous prime is 47132999. The next prime is 47133001. The reversal of 47133000 is 33174.

It is an interprime number because it is at equal distance from previous prime (47132999) and next prime (47133001).

It can be written as a sum of positive squares in 4 ways, for example, as 22867524 + 24265476 = 4782^2 + 4926^2 .

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 (47133001) 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, 6382 + ... + 11618.

Almost surely, 2^47133000 is an apocalyptic number.

47133000 is a gapful number since it is divisible by the number (40) 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 47133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79669980).

47133000 is an abundant number, since it is smaller than the sum of its proper divisors (112206960).

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

47133000 is a wasteful number, since it uses less digits than its factorization.

47133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5264 (or 5247 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 47133000 is about 6865.3477697783. The cubic root of 47133000 is about 361.2226944236. Note that the first 3 decimals are identical.

Adding to 47133000 its reverse (33174), we get a palindrome (47166174).

The spelling of 47133000 in words is "forty-seven million, one hundred thirty-three thousand".