31053 has 8 divisors (see below), whose sum is σ = 45216. Its totient is φ = 18800.

The previous prime is 31051. The next prime is 31063. The reversal of 31053 is 35013.

Added to its reverse (35013) it gives a triangular number (66066 = T₃₆₃).

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 31053 - 2¹ = 31051 is a prime.

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31051) 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, 438 + ... + 503.

It is an arithmetic number, because the mean of its divisors is an integer number (5652).

2³¹⁰⁵³ is an apocalyptic number.

31053 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31053 is a deficient number, since it is larger than the sum of its proper divisors (14163).

31053 is a wasteful number, since it uses less digits than its factorization.

31053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955.

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 31053 is about 176.2186142268. The cubic root of 31053 is about 31.4316988230.

Adding to 31053 its reverse (35013), we get a palindrome (66066).

It can be divided in two parts, 310 and 53, that added together give a palindrome (363).

The spelling of 31053 in words is "thirty-one thousand, fifty-three".