73000633 has 2 divisors, whose sum is σ = 73000634. Its totient is φ = 73000632.

The previous prime is 73000621. The next prime is 73000639. The reversal of 73000633 is 33600037.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49449024 + 23551609 = 7032^2 + 4853^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-73000633 is a prime.

It is equal to p_4284130 and since 73000633 and 4284130 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (73000639) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36500316 + 36500317.

It is an arithmetic number, because the mean of its divisors is an integer number (36500317).

Almost surely, 2^73000633 is an apocalyptic number.

It is an amenable number.

73000633 is a deficient number, since it is larger than the sum of its proper divisors (1).

73000633 is an equidigital number, since it uses as much as digits as its factorization.

73000633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 22.

The square root of 73000633 is about 8544.0407887603. The cubic root of 73000633 is about 417.9351276354.

The spelling of 73000633 in words is "seventy-three million, six hundred thirty-three", and thus it is an aban number.