31029 has 4 divisors (see below), whose sum is σ = 41376. Its totient is φ = 20684.

The previous prime is 31019. The next prime is 31033. The reversal of 31029 is 92013.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 92013 = 3 ⋅30671.

It is a cyclic number.

It is not a de Polignac number, because 31029 - 2⁴ = 31013 is a prime.

It is a D-number.

31029 is a lucky number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 30999 and 31017.

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 31029.

It is not an unprimeable number, because it can be changed into a prime (31019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5169 + ... + 5174.

It is an arithmetic number, because the mean of its divisors is an integer number (10344).

2³¹⁰²⁹ is an apocalyptic number.

It is an amenable number.

31029 is a deficient number, since it is larger than the sum of its proper divisors (10347).

31029 is a wasteful number, since it uses less digits than its factorization.

31029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10346.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 31029 is about 176.1505038312. The cubic root of 31029 is about 31.4235991740.

The spelling of 31029 in words is "thirty-one thousand, twenty-nine".