205314000 has 160 divisors (see below), whose sum is σ = 697157760. Its totient is φ = 51840000.

The previous prime is 205313993. The next prime is 205314007. The reversal of 205314000 is 413502.

It is an interprime number because it is at equal distance from previous prime (205313993) and next prime (205314007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205314007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113100 + ... + 114900.

It is an arithmetic number, because the mean of its divisors is an integer number (4357236).

Almost surely, 2^205314000 is an apocalyptic number.

205314000 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 205314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348578880).

205314000 is an abundant number, since it is smaller than the sum of its proper divisors (491843760).

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

205314000 is a wasteful number, since it uses less digits than its factorization.

205314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 205314000 is about 14328.7822232038. The cubic root of 205314000 is about 589.9377507819.

Adding to 205314000 its reverse (413502), we get a palindrome (205727502).

It can be divided in two parts, 20531 and 4000, that added together give a triangular number (24531 = T₂₂₁).

The spelling of 205314000 in words is "two hundred five million, three hundred fourteen thousand".