905949801 has 27 divisors (see below), whose sum is σ = 1335886461. Its totient is φ = 591625944.

The previous prime is 905949749. The next prime is 905949809. The reversal of 905949801 is 108949509.

The square root of 905949801 is 30099.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 905949801 - 2¹³ = 905941609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (905949809) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7133400 + ... + 7133526.

Almost surely, 2^905949801 is an apocalyptic number.

905949801 is the 30099-th square number.

905949801 is the 15050-th centered octagonal number.

It is an amenable number.

905949801 is a deficient number, since it is larger than the sum of its proper divisors (429936660).

905949801 is an equidigital number, since it uses as much as digits as its factorization.

905949801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The cubic root of 905949801 is about 967.6122947197.

The spelling of 905949801 in words is "nine hundred five million, nine hundred forty-nine thousand, eight hundred one".