905829409 has 3 divisors (see below), whose sum is σ = 905859507. Its totient is φ = 905799312.

The previous prime is 905829371. The next prime is 905829439. The reversal of 905829409 is 904928509.

The square root of 905829409 is 30097.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 10144225 + 895685184 = 3185^2 + 29928^2 .

It is not a de Polignac number, because 905829409 - 2¹¹ = 905827361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (905829439) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 15049 + ... + 45145.

It is an arithmetic number, because the mean of its divisors is an integer number (301953169).

Almost surely, 2^905829409 is an apocalyptic number.

905829409 is the 30097-th square number.

905829409 is the 15049-th centered octagonal number.

It is an amenable number.

905829409 is a deficient number, since it is larger than the sum of its proper divisors (30098).

905829409 is an frugal number, since it uses more digits than its factorization.

905829409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60194 (or 30097 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The cubic root of 905829409 is about 967.5694307038.

The spelling of 905829409 in words is "nine hundred five million, eight hundred twenty-nine thousand, four hundred nine".