73577857 has 2 divisors, whose sum is σ = 73577858. Its totient is φ = 73577856.

The previous prime is 73577827. The next prime is 73577869. The reversal of 73577857 is 75877537.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60357361 + 13220496 = 7769^2 + 3636^2 .

It is a cyclic number.

It is not a de Polignac number, because 73577857 - 2¹⁵ = 73545089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 73577857.

It is not a weakly prime, because it can be changed into another prime (73577827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36788928 + 36788929.

It is an arithmetic number, because the mean of its divisors is an integer number (36788929).

Almost surely, 2^73577857 is an apocalyptic number.

It is an amenable number.

73577857 is a deficient number, since it is larger than the sum of its proper divisors (1).

73577857 is an equidigital number, since it uses as much as digits as its factorization.

73577857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1440600, while the sum is 49.

The square root of 73577857 is about 8577.7536103574. The cubic root of 73577857 is about 419.0337898979.

The spelling of 73577857 in words is "seventy-three million, five hundred seventy-seven thousand, eight hundred fifty-seven".