905612961 has 64 divisors (see below), whose sum is σ = 1401732864. Its totient is φ = 515174400.

The previous prime is 905612959. The next prime is 905612963. The reversal of 905612961 is 169216509.

905612961 is a nontrivial binomial coefficient, being equal to C(42559, 2).

It is an interprime number because it is at equal distance from previous prime (905612959) and next prime (905612963).

It is not a de Polignac number, because 905612961 - 2¹ = 905612959 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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

It is not an unprimeable number, because it can be changed into a prime (905612963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5234671 + ... + 5234843.

It is an arithmetic number, because the mean of its divisors is an integer number (21902076).

Almost surely, 2^905612961 is an apocalyptic number.

905612961 is the 42558-th triangular number.

It is an amenable number.

905612961 is a deficient number, since it is larger than the sum of its proper divisors (496119903).

905612961 is a wasteful number, since it uses less digits than its factorization.

905612961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354.

The product of its (nonzero) digits is 29160, while the sum is 39.

The square root of 905612961 is about 30093.4039450508. The cubic root of 905612961 is about 967.4923576372.

The spelling of 905612961 in words is "nine hundred five million, six hundred twelve thousand, nine hundred sixty-one".