34005213 has 24 divisors (see below), whose sum is σ = 53782560. Its totient is φ = 20532960.

The previous prime is 34005211. The next prime is 34005263. The reversal of 34005213 is 31250043.

It is not a de Polignac number, because 34005213 - 2¹ = 34005211 is a prime.

It is a super-2 number, since 2×34005213² = 2312709022350738, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34005211) 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, 38070 + ... + 38952.

It is an arithmetic number, because the mean of its divisors is an integer number (2240940).

Almost surely, 2^34005213 is an apocalyptic number.

34005213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34005213 is a deficient number, since it is larger than the sum of its proper divisors (19777347).

34005213 is a wasteful number, since it uses less digits than its factorization.

34005213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 34005213 is about 5831.3988887745. The cubic root of 34005213 is about 323.9777362388.

Adding to 34005213 its reverse (31250043), we get a palindrome (65255256).

The spelling of 34005213 in words is "thirty-four million, five thousand, two hundred thirteen".