31146 has 16 divisors (see below), whose sum is σ = 64800. Its totient is φ = 9968.

The previous prime is 31139. The next prime is 31147. The reversal of 31146 is 64113.

It is a plaindrome in base 13 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31147) 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, 85 + ... + 263.

It is an arithmetic number, because the mean of its divisors is an integer number (4050).

2³¹¹⁴⁶ is an apocalyptic number.

31146 is an abundant number, since it is smaller than the sum of its proper divisors (33654).

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 (32400).

31146 is a wasteful number, since it uses less digits than its factorization.

31146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213.

The product of its digits is 72, while the sum is 15.

The square root of 31146 is about 176.4822937294. The cubic root of 31146 is about 31.4630456030.

Adding to 31146 its reverse (64113), we get a palindrome (95259).

The spelling of 31146 in words is "thirty-one thousand, one hundred forty-six".