1038085461 has 24 divisors (see below), whose sum is σ = 1728841920. Its totient is φ = 587938176.

The previous prime is 1038085453. The next prime is 1038085487. The reversal of 1038085461 is 1645808301.

1038085461 is a `hidden beast` number, since 103 + 8 + 0 + 8 + 546 + 1 = 666.

It is not a de Polignac number, because 1038085461 - 2³ = 1038085453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038085361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65791 + ... + 80028.

It is an arithmetic number, because the mean of its divisors is an integer number (72035080).

Almost surely, 2^1038085461 is an apocalyptic number.

It is an amenable number.

1038085461 is a deficient number, since it is larger than the sum of its proper divisors (690756459).

1038085461 is a wasteful number, since it uses less digits than its factorization.

1038085461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145945 (or 145942 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1038085461 is about 32219.3336523274. Note that the first 3 decimals coincide. The cubic root of 1038085461 is about 1012.5373125710.

The spelling of 1038085461 in words is "one billion, thirty-eight million, eighty-five thousand, four hundred sixty-one".