3213000 has 256 divisors, whose sum is σ = 13478400. Its totient is φ = 691200.

The previous prime is 3212981. The next prime is 3213011. The reversal of 3213000 is 3123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188992 + ... + 189008.

It is an arithmetic number, because the mean of its divisors is an integer number (52650).

Almost surely, 2^3213000 is an apocalyptic number.

3213000 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 3213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739200).

3213000 is an abundant number, since it is smaller than the sum of its proper divisors (10265400).

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

3213000 is a wasteful number, since it uses less digits than its factorization.

3213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 3213000 is about 1792.4843095548. The cubic root of 3213000 is about 147.5605420338.

Adding to 3213000 its reverse (3123), we get a palindrome (3216123).

It can be divided in two parts, 321 and 3000, that added together give a triangular number (3321 = T₈₁).

The spelling of 3213000 in words is "three million, two hundred thirteen thousand".