1305213 has 24 divisors (see below), whose sum is σ = 2183328. Its totient is φ = 687456.

The previous prime is 1305169. The next prime is 1305229. The reversal of 1305213 is 3125031.

It is a happy number.

It is not a de Polignac number, because 1305213 - 2⁶ = 1305149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1305192 and 1305201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305233) 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, 1570 + ... + 2252.

It is an arithmetic number, because the mean of its divisors is an integer number (90972).

2^1305213 is an apocalyptic number.

1305213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1305213 is a deficient number, since it is larger than the sum of its proper divisors (878115).

1305213 is a wasteful number, since it uses less digits than its factorization.

1305213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 1305213 is about 1142.4591896431. The cubic root of 1305213 is about 109.2849765913.

The spelling of 1305213 in words is "one million, three hundred five thousand, two hundred thirteen".