73581953 has 2 divisors, whose sum is σ = 73581954. Its totient is φ = 73581952.

The previous prime is 73581947. The next prime is 73581971. The reversal of 73581953 is 35918537.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51940849 + 21641104 = 7207^2 + 4652^2 .

It is an emirp because it is prime and its reverse (35918537) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 73581953 - 2¹⁰ = 73580929 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 73581953.

It is not a weakly prime, because it can be changed into another prime (73581973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36790976 + 36790977.

It is an arithmetic number, because the mean of its divisors is an integer number (36790977).

Almost surely, 2^73581953 is an apocalyptic number.

It is an amenable number.

73581953 is a deficient number, since it is larger than the sum of its proper divisors (1).

73581953 is an equidigital number, since it uses as much as digits as its factorization.

73581953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 113400, while the sum is 41.

The square root of 73581953 is about 8577.9923641841. The cubic root of 73581953 is about 419.0415654734.

The spelling of 73581953 in words is "seventy-three million, five hundred eighty-one thousand, nine hundred fifty-three".