31616 has 32 divisors (see below), whose sum is σ = 71400. Its totient is φ = 13824.

The previous prime is 31607. The next prime is 31627. The reversal of 31616 is 61613.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 31594 and 31603.

It is a congruent number.

It is an unprimeable number.

31616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1655 + ... + 1673.

2³¹⁶¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35700).

31616 is an abundant number, since it is smaller than the sum of its proper divisors (39784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31616 is a wasteful number, since it uses less digits than its factorization.

31616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 34 counting only the distinct ones).

The product of its digits is 108, while the sum is 17.

The square root of 31616 is about 177.8088861671. The cubic root of 31616 is about 31.6205175731.

The spelling of 31616 in words is "thirty-one thousand, six hundred sixteen".