21292000 has 48 divisors (see below), whose sum is σ = 52324272. Its totient is φ = 8515200.

The previous prime is 21291971. The next prime is 21292013. The reversal of 21292000 is 29212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1339 + ... + 6661.

It is an arithmetic number, because the mean of its divisors is an integer number (1090089).

Almost surely, 2^21292000 is an apocalyptic number.

21292000 is a gapful number since it is divisible by the number (20) 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 21292000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26162136).

21292000 is an abundant number, since it is smaller than the sum of its proper divisors (31032272).

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

21292000 is an equidigital number, since it uses as much as digits as its factorization.

21292000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5348 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 21292000 is about 4614.3255195099. The cubic root of 21292000 is about 277.1652756058.

The spelling of 21292000 in words is "twenty-one million, two hundred ninety-two thousand".