905903057 has 2 divisors, whose sum is σ = 905903058. Its totient is φ = 905903056.

The previous prime is 905903027. The next prime is 905903081. The reversal of 905903057 is 750309509.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 578691136 + 327211921 = 24056^2 + 18089^2 .

It is an emirp because it is prime and its reverse (750309509) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 905903057 - 2⁶ = 905902993 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 905903057.

It is not a weakly prime, because it can be changed into another prime (905903027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 452951528 + 452951529.

It is an arithmetic number, because the mean of its divisors is an integer number (452951529).

Almost surely, 2^905903057 is an apocalyptic number.

It is an amenable number.

905903057 is a deficient number, since it is larger than the sum of its proper divisors (1).

905903057 is an equidigital number, since it uses as much as digits as its factorization.

905903057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42525, while the sum is 38.

The square root of 905903057 is about 30098.2234857807. The cubic root of 905903057 is about 967.5956525736.

The spelling of 905903057 in words is "nine hundred five million, nine hundred three thousand, fifty-seven".