85633461 has 24 divisors (see below), whose sum is σ = 127370880. Its totient is φ = 55406400.

The previous prime is 85633409. The next prime is 85633463. The reversal of 85633461 is 16433658.

85633461 is a `hidden beast` number, since 8 + 563 + 34 + 61 = 666.

It is not a de Polignac number, because 85633461 - 2⁹ = 85632949 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85633463) 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, 87706 + ... + 88676.

It is an arithmetic number, because the mean of its divisors is an integer number (5307120).

Almost surely, 2^85633461 is an apocalyptic number.

It is an amenable number.

85633461 is a deficient number, since it is larger than the sum of its proper divisors (41737419).

85633461 is a wasteful number, since it uses less digits than its factorization.

85633461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1254 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 85633461 is about 9253.8349347716. The cubic root of 85633461 is about 440.7725082711.

The spelling of 85633461 in words is "eighty-five million, six hundred thirty-three thousand, four hundred sixty-one".