85631 has 8 divisors (see below), whose sum is σ = 105504. Its totient is φ = 67680.

The previous prime is 85627. The next prime is 85639. The reversal of 85631 is 13658.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85631 - 2² = 85627 is a prime.

It is a super-2 number, since 2×85631² = 14665336322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85597 and 85606.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85631.

It is not an unprimeable number, because it can be changed into a prime (85639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 380 + ... + 561.

It is an arithmetic number, because the mean of its divisors is an integer number (13188).

2⁸⁵⁶³¹ is an apocalyptic number.

85631 is a deficient number, since it is larger than the sum of its proper divisors (19873).

85631 is a wasteful number, since it uses less digits than its factorization.

85631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961.

The product of its digits is 720, while the sum is 23.

The square root of 85631 is about 292.6277498803. The cubic root of 85631 is about 44.0768285811.

It can be divided in two parts, 85 and 631, that multiplied together give a palindrome (53635).

The spelling of 85631 in words is "eighty-five thousand, six hundred thirty-one".