31960 has 32 divisors (see below), whose sum is σ = 77760. Its totient is φ = 11776.

The previous prime is 31957. The next prime is 31963. The reversal of 31960 is 6913.

It is an interprime number because it is at equal distance from previous prime (31957) and next prime (31963).

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31963) 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, 657 + ... + 703.

It is an arithmetic number, because the mean of its divisors is an integer number (2430).

2³¹⁹⁶⁰ 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 31960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38880).

31960 is an abundant number, since it is smaller than the sum of its proper divisors (45800).

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

31960 is a wasteful number, since it uses less digits than its factorization.

31960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 31960 is about 178.7735998407. The cubic root of 31960 is about 31.7347871816.

The spelling of 31960 in words is "thirty-one thousand, nine hundred sixty".