705738033 has 216 divisors, whose sum is σ = 1517757696. Its totient is φ = 310262400.

The previous prime is 705738029. The next prime is 705738067. The reversal of 705738033 is 330837507.

705738033 is a `hidden beast` number, since 7 + 0 + 573 + 80 + 3 + 3 = 666.

It is not a de Polignac number, because 705738033 - 2² = 705738029 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (705738023) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 22765728 + ... + 22765758.

It is an arithmetic number, because the mean of its divisors is an integer number (7026656).

Almost surely, 2^705738033 is an apocalyptic number.

It is an amenable number.

705738033 is an abundant number, since it is smaller than the sum of its proper divisors (812019663).

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

705738033 is a wasteful number, since it uses less digits than its factorization.

705738033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 705738033 is about 26565.7304247408. The cubic root of 705738033 is about 890.3235086183.

It can be divided in two parts, 70573 and 8033, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 705738033 in words is "seven hundred five million, seven hundred thirty-eight thousand, thirty-three".