705413 has 8 divisors (see below), whose sum is σ = 750720. Its totient is φ = 660960.

The previous prime is 705409. The next prime is 705421. The reversal of 705413 is 314507.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 705413 - 2² = 705409 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2468 + ... + 2738.

It is an arithmetic number, because the mean of its divisors is an integer number (93840).

2⁷⁰⁵⁴¹³ is an apocalyptic number.

It is an amenable number.

705413 is a deficient number, since it is larger than the sum of its proper divisors (45307).

705413 is a wasteful number, since it uses less digits than its factorization.

705413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 705413 is about 839.8886831003. Note that the first 3 decimals coincide. The cubic root of 705413 is about 89.0186805883.

The spelling of 705413 in words is "seven hundred five thousand, four hundred thirteen".