905054761 has 16 divisors (see below), whose sum is σ = 1018289664. Its totient is φ = 798139584.

The previous prime is 905054753. The next prime is 905054819. The reversal of 905054761 is 167450509.

It is a cyclic number.

It is not a de Polignac number, because 905054761 - 2³ = 905054753 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 905054761.

It is not an unprimeable number, because it can be changed into a prime (905054861) 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, 368640 + ... + 371086.

It is an arithmetic number, because the mean of its divisors is an integer number (63643104).

Almost surely, 2^905054761 is an apocalyptic number.

905054761 is the 16081-st nonagonal number.

It is an amenable number.

905054761 is a deficient number, since it is larger than the sum of its proper divisors (113234903).

905054761 is a wasteful number, since it uses less digits than its factorization.

905054761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3720.

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 905054761 is about 30084.1280578314. The cubic root of 905054761 is about 967.2935364135.

It can be divided in two parts, 90505 and 4761, that added together give a triangular number (95266 = T₄₃₆).

The spelling of 905054761 in words is "nine hundred five million, fifty-four thousand, seven hundred sixty-one".