31002 has 8 divisors (see below), whose sum is σ = 62016. Its totient is φ = 10332.

The previous prime is 30983. The next prime is 31013. The reversal of 31002 is 20013.

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

31002 is an admirable number.

It is a super-2 number, since 2×31002² = 1922248008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6), and also a Moran number because the ratio is a prime number: 5167 = 31002 / (3 + 1 + 0 + 0 + 2).

It is a plaindrome in base 13.

It is a nialpdrome in base 8.

It is an unprimeable number.

31002 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2578 + ... + 2589.

It is an arithmetic number, because the mean of its divisors is an integer number (7752).

2³¹⁰⁰² is an apocalyptic number.

31002 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31008).

31002 is a wasteful number, since it uses less digits than its factorization.

31002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5172.

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 31002 is about 176.0738481433. The cubic root of 31002 is about 31.4144820751.

Adding to 31002 its reverse (20013), we get a palindrome (51015).

The spelling of 31002 in words is "thirty-one thousand, two".