905350901 has 16 divisors (see below), whose sum is σ = 1137024000. Its totient is φ = 716318064.

The previous prime is 905350883. The next prime is 905350961. The reversal of 905350901 is 109053509.

It is not a de Polignac number, because 905350901 - 2¹⁰ = 905349877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905350961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97061 + ... + 105978.

It is an arithmetic number, because the mean of its divisors is an integer number (71064000).

Almost surely, 2^905350901 is an apocalyptic number.

905350901 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

905350901 is a deficient number, since it is larger than the sum of its proper divisors (231673099).

905350901 is a wasteful number, since it uses less digits than its factorization.

905350901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203073 (or 203059 counting only the distinct ones).

The product of its (nonzero) digits is 6075, while the sum is 32.

The square root of 905350901 is about 30089.0495197173. The cubic root of 905350901 is about 967.3990265571.

The spelling of 905350901 in words is "nine hundred five million, three hundred fifty thousand, nine hundred one".