906724533 has 32 divisors (see below), whose sum is σ = 1424650752. Its totient is φ = 505713600.

The previous prime is 906724463. The next prime is 906724547. The reversal of 906724533 is 335427609.

It is not a de Polignac number, because 906724533 - 2⁸ = 906724277 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 906724491 and 906724500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906724433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145818 + ... + 151908.

It is an arithmetic number, because the mean of its divisors is an integer number (44520336).

Almost surely, 2^906724533 is an apocalyptic number.

It is an amenable number.

906724533 is a deficient number, since it is larger than the sum of its proper divisors (517926219).

906724533 is a wasteful number, since it uses less digits than its factorization.

906724533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6465.

The product of its (nonzero) digits is 136080, while the sum is 39.

The square root of 906724533 is about 30111.8669796477. The cubic root of 906724533 is about 967.8880372320. Note that the first 3 decimals are identical.

The spelling of 906724533 in words is "nine hundred six million, seven hundred twenty-four thousand, five hundred thirty-three".