23133006 has 64 divisors (see below), whose sum is σ = 57200640. Its totient is φ = 6881760.

The previous prime is 23132999. The next prime is 23133031. The reversal of 23133006 is 60033132.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23133006.

It is a congruent number.

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, 21231 + ... + 22293.

It is an arithmetic number, because the mean of its divisors is an integer number (893760).

Almost surely, 2^23133006 is an apocalyptic number.

23133006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23133006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28600320).

23133006 is an abundant number, since it is smaller than the sum of its proper divisors (34067634).

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

23133006 is a wasteful number, since it uses less digits than its factorization.

23133006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 23133006 is about 4809.6783676250. The cubic root of 23133006 is about 284.9338350560.

Adding to 23133006 its reverse (60033132), we get a palindrome (83166138).

The spelling of 23133006 in words is "twenty-three million, one hundred thirty-three thousand, six".